A report on harmonic maps

Bulletin of the London Mathematical Society

Volumn 10, Issue 1, 1978, Pages 1-68

  Eells, J ^a   Lemaire, L ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84956098734     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/blms/10.1.1     Document Type: Article

References (248)

1. J. Adem, "Construction of some normed maps, " Bol. Soc. Mat. Mex., 20 (1975).
2. L. V. Ahlfors, Lectures on quasiconformal mappings. (Van Nostrand Math. Studies 10, 1966).
3. S. I. Al'ber, "On n-dimensional problems in the calculus of variations in the large, " Soviet Math. Dokl., 5 (1964), 700-704.
4. S. I. Al'ber, "Spaces of mappings into a manifold with negative curvature, " Soviet Math. Dokl., 9 (1967), 6-9.
5. S. I. Al'ber, "The topology of functional manifolds and the calculus of variations in the large, " Russian Math. Surveys 25, No. 4 (1970), 51-117.
6. A. D. Alexandrov, "Uniqueness theorems for surfaces in the large, V, " Amer. Math. Soc. Transl, 21 (1962), 412-416.
7. F. J. Almgren, "Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem, " Ann. of Math., 84 (1966), 277-292.
8. N. Aronszajn, "A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order, " J. Math. Pures Appl. (9), 36 (1957), 235-249.
9. N. Aronszajn, A. Krzywicki and J. Szarski, "A unique continuation theorem for exterior differential forms on Riemannian manifolds, " Ark. Mat., 4 (1962), 417-453.
10. 2m, " Trans. Amer. Math. Soc., 210 (1975), 75-106.
11. M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété riemannienne. (Springer Notes 194, 1971).
12. L. Bers, "Quasiconformal mappings and Teichmüller's theorem, " Analytic Functions (Princeton, 1960), 89-119.
13. R. L. Bishop and B. O'Neill, "Manifolds of negative curvature, " Trans. Amer. Math. Soc., 145 (1969), 1-49.
14. S; Bochner, "Harmonic surfaces in Riemann metric, " Trans. Amer. Math. Soc., 47 (1940), 146-154.
15. S. Bochner, "Analytic and meromorphic continuation by means of Green's formula, " Ann. of Math., 44 (1943), 652-673.
16. S. Bochner and K. Yano, Curvature and Betti numbers. (Annals of Math. Studies 32, 1953).
17. W. M. Boothby, S. Kobayashi and H. C. Wang, "A note on mappings and automorphisms of almost complex manifolds, " Ann. of Math., 77 (1963), 329-334.
18. A. Borel, "Compact Clifford-Klein forms of symmetric spaces, " Topology, 2 (1963), 111-122.
19. A. Borel and R. Narasimhan, "Uniqueness conditions for certain holomorphic mappings, " Invent. Math., 2 (1967), 247-255.
20. A. Borel and R. Remmert, "Über Kompakte homogene Kählersche Mannigfaltigkeiten, " Math. Ann., 145 (1961/62), 429-439.
21. L. Bouche, "Sur la definition des applications harmoniques, " C. R. Paris, 270 (1970), A120-122.
22. L. Bouche, "Connexions riemanniennes fibrées et applications harmoniques, " Rend. Mat., 3 (1970), 787-804.
23. L. Bouche and J. Houillot, "Composition de déformations infinitésimales harmoniques, " C. R. Paris, 278 (1974), A783-785.
24. W. P. Byers, "On a theorem of Preissmann, " Proc. Amer. Math. Soc., 24 (1970), 50-51.
25. E. Calabi, "Minimal immersions of surfaces in Euclidean spheres, " J. Diff. Geom., 1 (1967), 111-125.
26. E. Calabi, "Quelques applications de l'analyse complexe aux surfaces d'aire minima, " Topics in Complex Manifolds. (Univ. Montréal, 1967), 59-81.
27. E. Cartan, "Families de surfaces isoparamétriques dans les espaces à courbure constante, " Ann. Mat. Pura Appl., 17 (1938), 177-191.
28. E. Cartan, "Sur des families remarquables d'hypersurfaces isoparamétriques dans les espaces sphériques, " Math. Z., 45 (1939), 335-367.
29. E. Cartan, "Sur quelques families remarquables d'hypersurfaces, " C. R. Congrès Math. Liège, (1939), 30-41.
30. E. Cartan, "Sur des families d'hypersurfaces isoparamétriques des espaces sphériques à 5 et à 9 dimensions, " Revista Univ. Tucumán Série A1, (1940), 5-22.
31. J. Cheeger and D. Gromoll, "On the structure of complete manifolds of nonnegative curvature, " Ann. of Math., 96 (1972), 413-443.
32. S. Y. Cheng and S. T. Yau, "Differential equations on Riemannian manifolds and their geometric applications, " Comm. Pure Appl. Math., 28 (1975), 333-354.
33. S. S. Chern, "Complex analytic mappings of Riemann surfaces, I, " Amer. J. Math., 82 (1960), 323-337.
34. S. S. Chern, "On holomorphic mappings of Hermitian manifolds of the same dimension, " Proc. of Symp. in Pure Math. 11, A.M.S. (1968), 157-170.
35. S. S. Chern and R. Osserman, "Complete minimal surfaces in Euclidean n-space, " J. Analyse Math., 19 (1967), 15-34.
36. S. S. Chern and S. I. Goldberg, "On the volume-decreasing property of a class of real harmonic mappings, " Amer. J. Math., 97 (1975), 133-147.
37. H. O. Cordes, "Über die eindeutige Beśtimmtheit der Lösungen elliptscher Differentialgleichungen durch Anfangsvorgaben, " Nachr. Akad. Wiss. Gött. Math. Phy. Kl. IIa (1956), 239-258.
38. R. Courant, "Dirichlet's principle, conformal mappings, and minimal surfaces, " Pure Appl. Math. III. (Interscience, 1950).
39. M. P. Do Carmo and N. R. Wallach, "Minimal immersions of spheres into spheres, " Ann. of Math., 93 (1971), 43-62.
40. P. Dombrowski, "On the geometry of the tangent bundle, " J. Reine Angew Math., 210 (1962), 73-88.
41. C. J. Earle and J. Eells, "Deformation of Riemann surfaces, " Lectures in Mod. Anal. and Appl. (Springer Notes 103, 1969), 122-149.
42. C. J. Earle and J. Eells, "A fibre bundle description of Teichmüller theory, " J. Diff. Ceom., 3 (1969), 19-43.
43. J. Eells, Fibring spaces of maps (Ann. Math. Studies 69, 1972), 43-57.
44. J. Eells, Elliptic operators on manifolds. Proc. Summer Course in Complex Analysis. Vol. I (I.C.T.P. Trieste, 1976), 95-152.
45. J. Eells and J. H. Sampson, "Harmonic mappings of Riemannian manifolds, " Amer. J. Math., 86 (1964), 109-160.
46. J. Eells and J. H. Sampson, "Energie et deformations en géométrie différentielle, " Ann. Inst. Fourier, 14 (1964), 61-69.
47. J. Eells and J. H. Sampson, "Variational theory in fibre bundles, " Proc. U.S.-Japan Sem. Diff. Geom., Kyoto (1965), 22-33.
48. J. Eells and J. C. Wood, "Restrictions on harmonic maps of surfaces, " Topology, 15 (1976), 263-266;
49. H. I. Eliasson, "Geometry of manifolds of maps, " J. Diff. Geom., 1 (1967), 169-194.
50. H. I. Eliasson, "Variation integrals in fiber bundles, " Proc. Symp. in Pure Math., A.M.S. 16 (1970), 67-89.
51. H. I. Eliasson, "Introduction to global calculus of variations, " Global Analysis and Its Applications. Vol. II (I.C.T.P. Trieste, 1974), 113-135.
52. R. H. Escobales, "Riemannian submersions with totally geodesic fibers, " J. Diff. Geom., 10 (1975), 253-276.
53. P. Flaschel and W. Klingenberg, Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. (Springer Notes 282, 1972).
54. G. B. Folland and J. J. Kohn, The Neumann problem for the Cauchy-Riemann complex. (Ann. of Math. Studies 75).
55. A. T. Fomenko, "Some cases where elements of homotopy groups of homogeneous spaces are. realized by totally geodesic spheres, " Sov. Math. Dokl., 11 (1970), 219-222.
56. A. T. Fomenko, "Realization of cycles in compact symmetric spaces by totally geodesic submanifolds, " Sov. Math. Dokl., 11 (1970), 1583-1586.
57. A. T. Fomenko, "Bott periodicity from the point of view of an n-dimensional Dirichlet functional, " Izv. Akad., 35 (1971), 681-695.
58. B. Fuglede, Harmonic morphisms between Riemann manifolds (Copenhagen Preprint 36, 1976).
59. F. B. Fuller, "Harmonic mappings, " Proc., Nat. Acad. Sci., 40 (1954), 987-991.
60. M. Gerstenhaber and H. E. Rauch, "On extremal quasi-conformal mappings, I, II, " Proc. Nat. Acad. Sci., 40 (1954), 808-812, 991-994.
61. S. I. Goldberg, "On the distance decreasing property of a class of real harmonic mappings, " Geo. Dedicata, 14 (1975), 61-69.
62. S. I. Goldberg, "Liouville's theorem for a class of quasiconformal mappings, " Greek Math. Soc. C. Carathéodory Symp. (1973), 154-164.
63. S. I. Goldberg, "Mappings of nonpositively curved manifolds, " Nagoya Math., J. 61 (1976), 73-84.
64. S. I. Goldberg and T. Ishihara, "Harmonic quasiconformal mappings of Riemannian manifolds, " Amer. J. Math., 98 (1976), 225-240.
65. S. I. Goldberg, T. Ishihara, and N. C. Petridis, "Mappings of bounded dilatation, " J. Math. Tokushima Univ., 8 (1974), 1-7.
66. S. I. Goldberg, T. Ishihara, and N. C. Petridis, "Mappings of bounded dilatation of Riemannian manifolds, " J. Diff. Geom., 10 (1975), 619-630.
67. S. I. Goldberg and Z. Har'El, "Mappings of almost Hermitian manifolds, " J. Diff. Geom.
68. S. I. Goldberg and Z. Har'El, "A general Schwarz lemma for Riemannian manifolds, " Bull. Greek Math. Soc.
69. R. A. Goldstein, "Stability of the boundary-value problem for harmonic mappings, " J. Math. Anal. Appl., 39 (1972), 346-359.
70. W. B. Gordon, "Convex functions and harmonic maps, " Proc. Amer. Math. Soc., 33 (1972), 433-437.
71. R. E. Greene and H. H. Wu, "On the subharmonicity and plurisubharmonicity of geodesically convex functions, " Indiana Univ. Math. J., 22 (1973), 641-653.
72. R. E. Greene and H. H. Wu, "Integrals of subharmonic functions on manifolds of nonnegative curvature, " Invent. Math., 27 (1974), 265-298.
73. R. E. Greene and H. H. Wu, "Embedding of open Riemannian manifolds by harmonic functions, " Ann. Inst. Fourier, 25 (1975), 215-235.
74. ∞ convex functions and manifolds of positive curvature, " Acta Math., 137 (1976), 209-245.
75. P. A. Griffiths, Entire holomorphic mappings in one and several complex variables (Ann. of Math. Studies, 85, 1976).
76. P. A. Griffiths and J. Adams, Topics in algebraic and analytic geometry (Princeton Math. Notes, 13, 1974).
77. R. D. Gulliver, "Regularity of minimizing surfaces of prescribed mean curvature, " Ann. of Math., 97 (1973), 275-305.
78. R. D. Gulliver, R. Osserman, and H. L. Royden, "A theory of branched immersions of surfaces, " Amer. J. Math., 95 (1973), 750-812.
79. R. S. Hamilton, Harmonic maps of manifolds with boundary (Springer Lecture Notes, 471 1975).
80. V. L. Hansen, "On the space of maps of a closed surface into the 2-sphere" Math. Scand. 35 (1974), 149-158.
81. V. L. Hansen, Spaces of maps into Eilenberg-Mac Lane spaces. Copenhagen Preprint (1974).
82. Z. Har'El, "Harmonic maps and distortion theorems, " Tensor, 30 (1976), 47-54.
83. Z. Har'El, "Harmonic mappings of negatively curved manifolds
84. P. Hartman, "On homotopic harmonic maps, " Canad. J. Math., 19 (1967), 673-687.
85. P. Hartman and A. Wintner, "On the local behavior of solutions of nonparabolic partial differential equations, " Amer. J. Math., 75 (1953), 449-476.
86. P. Hartman and A. Wintner, "On the local behavior of solutions of nonparabolic partial differential equations, III. Approximations by spherical harmonics, " Amer. J. Math., 11 (1955), 453-474.
87. F. R. Harvey and H. B. Lawson, "Boundaries of complex analytic varieties, " Bull. Amer. Math. Soc., 80 (1974), 180-183.
88. F. R. Harvey and H. B. Lawson, "On boundaries of complex analytic varieties, I, " Ann. of Math., 102 (1975), 223-290.
89. E. Heinz, "Existence theorems for one-to-one mappings associated with elliptic systems of second order, I; II, " J. Analyse Math., 15 (1965), 325-352; 17 (1966), 145-184.
90. E. Heinz and S. Hildebrandt, "Some remarks on minimal surfaces in Riemannian manifolds, " Comm. Pure Appl. Math., 23 (1970), 371-377.
91. S. Hildebrandt, "Boundary behavior of minimal surfaces, " Arch. Rat. Mech. Anal., 35 (1969), 47-82.
92. S. Hildebrandt, H. Kaul, and K. O. Widman, "Harmonic mappings into Riemannian manifolds with non-positive sectional curvature, " Math. Scand., 37 (1975), 257-263.
93. S. Hildebrandt, H. Kaul and K. O. Widman, "Dirichlet's boundary value problem for harmonic mappings of Riemannian manifolds, " Math Z., 147 (1976), 225-236.
94. S. Hildebrandt, H. Kaul, and K. O. Widman, "An existence theorem for harmonic mappings of Riemannian manifolds, " Acta Math., 138 (1977), 1-16.
95. D. A. Hoffman, "Surfaces of constant mean curvature in manifolds of constant curvature, " J. Diff. Geom., 8 (1973), 161-176.
96. L. Hörmander, Linear partial differential operators. Grundlehren Band 116. (Springer, 1963).
97. W-Y. Hsiang, "On the compact homogeneous minimal submanifolds, " Proc. Nat. Acad. Sci., 56 (1966), 5-6.
98. W-Y. Hsiang, "Remarks on closed minimal submanifolds in the standard Riemannian m-sphere, " J. Diff. Geom., 1 (1967), 257-267.
99. W-Y. Hsiang and H. B. Lawson, "Minimal submanifolds of low cohomogeneity, " J. Diff. Geom., 5 (1971), 1-38.
100. T. Ishihara, "A remark on harmonic quasiconformal mappings, " J. Math. Tokushima Univ., 5 (1971), 17-23.
101. S. Ishihara and K. Yano, "Harmonic and relatively affine mappings, " J. Diff. Geom., 10 (1975), 501-509.
102. T. Ishihara and S. Ishihara, "Notes on relatively harmonic immersions, " Hokkaido Math. J., 4 (1975), 234-246.
103. E. Kelly, "Cohomology of compact minimal submanifolds, " Michigan Math. J., 19 (1973), 133-135.
104. W. Klingenberg, "Closed geodesics on Riemannian manifolds, " Proc. 13th Biennial Seminar, Can. Math. Congress, (1972), 69-92.
105. H. Kneser, "Die kleinste Bedeckungzahl immerhalb einer Klasse von Flächenabbildungen, " Math. Ann., 103 (1930), 347-358.
106. S. Kobayashi, Hyperbolic manifolds and holomorphic mappings (Dekker, 1970).
107. S. Kobayashi, "Intrinsic distances, measures, and geometric function theory, " Bull. Amer. Math. Soc., 82 (1976), 357-416.
108. S. Kobayashi and K. Nomizu, Foundations of differential geometry, I, II (Interscience, 1963, 1969).
109. J. J. Kohn and H. Rossi, "On the extension of holomorphic functions from the boundary of a complex manifold, " Ann. of Math., 81 (1965), 451-472.
110. K. Y. Lam, "Construction of nonsingular bilinear maps, " Topology, 6 (1967), 423-426.
111. K. Y. Lam, "Some interesting examples of nonsingular bilinear maps" (Preprint, 1976).
112. H. B. Lawson, Lectures on minimal submanifolds (IMPA, 1970).
113. 3, " Ann. of Math., 92 (1970), 335-374.
114. H. B. Lawson, Minimal varieties in real and complex geometry (Univ. Montréal, 1973).
115. H. B. Lawson, "Minimal varieties, " Proc. Symp. Pure Math., 27 (1975), 143-175.
116. L. Lemaire, "Applications harmoniques de variétés à bord, " C. R. Paris A 279 (1974), 925-927.
117. L. Lemaire, "Applications harmoniques en dimension 2, " Colloque de Géom. Diff. Bruxelles, (1974), 36-41.
118. L. Lemaire, "Applications harmoniques de surfaces, " C. R. Paris A 280 (1975), 897-899.
119. L. Lemaire, "Applications harmoniques de surfaces riemanniennes, " J. Diff. Geom., to appear.
120. L. Lemaire, Applications harmoniques de surfaces (These, Univ. Bruxelles, 1975).
121. L. Lemaire, "Harmonic mappings of uniformly bounded dilatation, " Topology, 16 (1977), 199-201.
122. L. Lemaire, "Applications harmoniques de variétés produits, " Comm. Math. Helv., 52 (1977), 11-24.
123. L. Lemaire, "Harmonic non-holomorphic maps from a surface to a sphere, " Proc. Amer. Math. Soc., (1978).
124. L. Lemaire, On the existence of harmonic maps (Thesis, Warwick University, 1977).
125. H. Lewy, "On the non-vanishing of the Jacobian in certain one-to-one mappings, " Bull. Amer. Math. Soc., 42 (1936), 689-692.
126. A. Lichnerowicz, "Quelques théorèmes de géométrie différentielle globale, " Comm. Math. Helv., 22 (1949), 271-301.
127. A. Lichnerowicz, "Variétés kählériennes et première classe de Chern, " J. Diff. Geom., 1 (1967), 195-223.
128. A. Lichnerowicz, "Sur les applications harmoniques, " C. R. Paris A 267 (1968), 548-553.
129. A. Lichnerowicz, "Applications harmoniques dans un tore, " C. R. Paris, 269 (1969), 912-916.
130. A. Lichnerowicz, "Variétés kählériennes à première classe de Chern positive ou nuíle, " C. R. Paris, 268 (1969), 876-880.
131. A. Lichnerowicz, "Applications harmoniques et variétés kählériennes, " Symp. Math. III Bologna, (1970), 341-402.
132. A. Lichnerowicz, "Variétés kählériennes à premiere classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative, " J. Diff. Geom., 6 (1971), 47-94.
133. Y-C. Lu, "Holomorphic mappings of complex manifolds, " J. Diff. Geom., 2 (1968), 299-312.
134. H. H. Martens, "A remark on Abel's theorem and the mapping of linear series, " Comm. Math. Helv. 52 (1977), 557-559.
135. H. H. Martens, "Observations on morphisms of closed Riemann surfaces
136. Y. Matsushima, "Vector bundle valued harmonic forms and immersions of Riemannian manifolds, " Osaka J. Math., 8 (1971), 1-13.
137. Y. Matsushima, "Holomorphic immersions of a compact Kähler manifold into complex tori, " J. Diff. Geom., 9 (1974), 309-328.
138. E. Mazet, "La formule de la variation seconde de l'énergie au voisinage d'une application harmonique, " J. Diff. Geom., 8 (1973), 279-296.
139. J. H. McAlpin, Infinite dimensional manifolds and Morse theory (Thesis, Columbia University, 1965).
140. 3, " Bull. Amer. Math. Soc., 83 (1977), 134-136. (Thesis, Univ. California, Berkeley, 1975).
141. W. H. Meeks and S. T. Yau, "The classical Plateau problem and the topology of 3-manifolds
142. A. Milgram and P. Rosenbloom, "Harmonic forms and heat conduction, I, " Proc. Nat. Acad. Sci., 37 (1951), 180-184.
143. J. W. Milnor, "A unique decomposition theorem for 3-manifolds, " Amer. J. Math., 84 (1962), 1-7.
144. J. W. Milnor, Morse theory (Annals of Math. Studies, 51, 1963).
145. T. K. Milnor, "A characterization of harmonic immersions of surfaces, " Bull. Amer. Math. Soc., 83 (1977), 403-405.
146. T. K. Milnor, "Harmonically immersed surfaces
147. J. C. Mitteau, L'equation parabolique sur les applications de variétés-Méthodes géométriques en analyse globale (Thèse, Univ. Paris VI, 1971).
148. J. C. Mitteau. "Existence des applications harmoniques, " Coll. Santiago di Compostello (1972). Springer Notes 392 (1974), 90-96.
149. J. C. Mitteau, "Sur le laplacien des applications, " C. R. Paris A 270 (1970), 603-605.
150. J. C. Mitteau, "Sur les solutions de Péquation de la chaleur, " C. R. Paris A 270 (1970), 1244-1247.
151. J. C. Mitteau, "Une formule de Green généralisée, " C. R. Paris A 271 (1970), 654-657.
152. J. C. Mitteau, "Applications harmoniques stables, " Bull. Soc. math. France, Mém. 46 (1976), 29-39.
153. J. C. Mitteau, "Sur les applications harmoniques, " J. Diff. Geom., 9 (1974), 41-54.
154. J. C. Mitteau, Stability of isometries among harmonic mappings. Proc. Summer Course in Complex Analysis. Vol. III. (I.C.T.P. Trieste, 1975), 49-61.
155. Y. Miyahara, "On some properties of a Teichmüller mapping, " TRU Math., 4 (1968), 36-43.
156. Y. Miyahara, "A remark on a Teichmüller mapping, " TRU Math., 5 (1969), 1-3.
157. Y. Miyahara, "A lemma on a family of harmonic mappings, " TRU Math., 5 (1969), 5-8.
158. Y. Miyahara, "A theorem on a sequence of harmonic mappings, " TRU Math., 5 (1969), 9-19.
159. C. B. Morrey, "The problem of Plateau on a Riemannian manifold, " Ann. of Math., 49 (1948), 807-851.
160. C. B. Morrey, Multiple integrals in the calculus of variations. Grundlehren, Band 130. (Springer, 1966).
161. H. F. Munzner, "Isoparametrische Hyperflachen in Spharen, " Math. Ann.
162. T. Nagano and B. Smyth, "Sur les surfaces minimales hyperelliptiques dans un tore, " C. R. Paris, A280 (1975), 1527-1529.
163. T. Nagano and B. Smyth, "Periodic minimal surfaces, " Comm. Math. Helv. (1978).
164. T. Nagano and B. Smyth, "Minimal varieties and harmonic maps in tori, " Comm. Math. Helv., 50 (1975), 249-265.
165. T. Nagano and B. Smyth, "Minimal surfaces in tori by Weyl groups, " Proc. Amer. Math. Soc., 61 (1976), 102-104.
166. A. Newlander and L. Nirenberg, "Complex analytic coordinates in almost complex manifolds, " Ann. of Math., 65 (1957), 391-404.
167. S. Nishikawa, "The Gauss map of Kaehler immersions, " Tôhoku Math. J., 27 (1975), 453-460.
168. J. C. C. Nitsche, Vorlesungen über Minimalflächen. Grundlehren, Band 199. (Springer, 1975).
169. K. Nomizu, "Some results in E. Cartan's theory of isoparametric families of hypersurfaces, " Bull. Amer. Math. Soc., 79 (1973), 1184-1188.
170. K. Nomizu, "Elie Cartan's work on isoparametric families of hypersurfaces, " Proc. Symp. Pure Math., 27 (1975), 191-200.
171. K. Nomizu and B. Smyth, "On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere, " Comm. Math. Helv., 44 (1969), 484-490.
172. K. Nomizu and B. Smyth, "A formula of Simons' type and hypersurfaces with constant mean curvature, " J. Diff. Geom., 3 (1969), 367-377.
173. O. Nouhaud, "Transformations infìnitésimales harmoniques, " C. R. Paris A 274 (1972), 573-576.
174. O. Nouhaud, "Déformations infinitésimales harmoniques, " C. R. Paris A 275 (1972), 1103-1105.
175. O. Nouhaud, "Immersion harmonique d'une variété riemannienne dans un tore, " C. R. Paris A 277 (1973), 1065-1066.
176. Y. Nutku, "Geometry of dynamics in general relativity, " Ann. Inst. H. Poincaré, A21 (1974), 175-183.
177. P. Olum, "Mappings of manifolds and the notion of degree, " Ann. of Math., 58 (1953), 458-480.
178. R. Osserman, "Minimal varieties, " Bull. Amer. Math. Soc., 75 (1969), 1092-1120.
179. R. Osserman, A survey of minimal surfaces (Van Nostrand Math. Studies 25, 1969).
180. R. Osserman, "A proof of the regularity everywhere of the classical solution to Plateau's problem, " Ann. of Math., 91 (1970), 550-569.
181. R. Osserman, "On Bers' theorem on isolated singularities, " Indiana Univ. Math. J., 23 (1973), 337-342.
182. H. Ozeki and M. Takeuchi, "On some types of isoparametric hypersurfaces in spheres, I, II, " Tôhoku Math. J., 27 (1975), 515-559; 28 (1976), 7-55.
183. R. S. Palais, "Morse theory on Hilbert manifolds, " Topology, 2 (1963) 299-340.
184. R. S. Palais, Foundations of global non-linear analysis (Benjamin, 1968).
185. N. C. Petridis, "Picard's theorem for a family of non-holomorphic mappings of complex manifolds, " Tensor, 30 (1976), 179-185.
186. M. H. Protter and H. F. Weinberger, Maximum principles in differential equations (Prentice-Hall, 1967).
187. H. E. Rauch, "A transcendental view of the space of algebraic Riemann surfaces, " Bull. Amer. Math. Soc., 71 (1965), 1-39.
188. E. Reich, "A generalized Dirichlet integral, " J. Analyse, 30 (1976), 456-463.
189. R. C. Reilly, "Variational properties of mean curvatures, " Proc. Summer Sem. Thirteenth Canad. Math. Congress (1971), 102-114.
190. R. C. Reilly, "Variational properties of functions of the mean curvatures for hypersurfaces in space forms, " J. Diff. Geom., 8 (1973), 465-477.
191. R. Remmert and K. Stein, "Eigentliche holomorphe Abbildungen, " Math. Z., 73 (1960), 159-189.
192. R. Remmert and T. van de Ven "Über holomorphe Abbildungen projektiv-algebraischer Mannigfaltigkeiten auf komplexe Räume, " Math. Attn., 142 (1961), 453-486.
193. E. A. Ruh, "Asymptotic behaviour of non-parametric minimal hypersurfaces, " J. Diff. Geom., 4 (1970), 509-513.
194. E. A. Ruh and J. Vilms, "The tension field of the Gauss map, " Trans. Amer. Math. Soc., 149 (1970), 569-573.
195. J. C. Saber, Manifolds of maps (Thesis, Brandeis Univ., 1965).
196. J. Sacks and K. Uhlenbeck, "Minimal immersions of compact Riemann surfaces".
197. J. Sacks and K. Uhlenbeck, "The existence of minimal immersions of two-spheres, " Bull. Amer. Math. Soc., 83 (1977), 1033-1036. Preprint with same title.
198. J. H. Sampson, "Some properties and applications of harmonic mappings, " Ann. Ec. Norm. Sup. XI (1978).
199. J. H. Sampson, "Foliations from quadratic and Hermitian differential forms, " Preprint (1977).
200. L. Sario, M. Schiffer, and M. Glasner, "The span and principal functions in Riemannian spaces, " J. Analyse Math., 15 (1965), 115-134.
201. R. Schoen and S. T. Yau, "Harmonic maps and the topology of stable hypersurfaces and manifolds of non-negative Ricci curvature, " Comm. Math. Helv., (51) (1976), 333-341.
202. R. Schoen and S. T. Yau, "On univalent harmonic maps between surfaces, " Invent. Math., 44 (1978), 265-278.
203. H. Sealey, Thesis, Warwick University.
204. K. Shibata, "On the existence of a harmonic mapping, " Osaka J. Math., 15 (1963), 173-211.
205. J. Simons, "Minimal varieties in Riemannian manifolds, " Ann. of Math., 88 (1968), 62-105.
206. R. T. Smith, Harmonic mappings of spheres, Thesis, Warwick University, 1972.
207. R. T. Smith, "Spherical representations of the classical groups, " Preprint (1973).
208. R. T. Smith, "The representation of Sp(n) on harmonic polynomials, " Preprint (1973).
209. R. T. Smith, "Spherical representations and harmonic mappings, " Preprint (1973).
210. n, " Indiana Math. J., 24 (1974), 307-325.
211. R. T. Smith, "Harmonic mappings of spheres, " Bull. Amer. Math. Soc., 78 (1972), 593-596.
212. R. T. Smith, "Harmonic mappings of spheres, " Amer. J. Math., 97 (1975), 364-385.
213. R. T. Smith, "The second variation formula for harmonic mappings, " Proc. Amer. Math. Soc., 47 (1975), 229-236.
214. B. Smyth, "Submanifolds of constant mean curvature, " Math. Ann., 205 (1973), 265-280.
215. B. Smyth, "Weakly ample Kähler manifolds and Euler number, " Math. Ann., 224 (1976), 269-279.
216. E. H. Spanier, Algebraic topology (McGraw-Hill, 1966).
217. A. Svec, "Harmonic mappings of surfaces, " Casopis pro pest, mat., 101 (1976), 283-292.
218. R. Takagi, "A class of hypersurfaces with constant principal curvatures in a sphere, " J. Diff. Geom., 11 (1976), 225-233.
219. R. Takagi and T. Takahashi, "On the principal curvatures of homogeneous hypersurfaces in a sphere, " Diff. Geom. in honour of K. Yarn, Tokyo (1972), 469-481.
220. T. Takahashi, "Minimal immersions of Riemannian manifolds, " J. Math. Soc. Japan, 4 (1966), 380-385.
221. G. E. Tanyi, "On the critical points of the classical elastic energy functional, " Preprint (1977).
222. W. P. Thurston, "Some simple examples of symplectic manifolds, " Proc. Amer. Math. Soc., 55 (1976), 467-468.
223. K. Uhlenbeck, "Harmonic maps: A direct method in the calculus of variations, " Bull. Amer. Math. Soc., 76 (1970), 1082-1087.
224. K. Uhlenbeck, "Morse theory by perturbation methods with applications to harmonic maps, " (1976).
225. K. Uhlenbeck, "Regularity for a class of non-linear elliptic systems, " Acta Math., 138 (1977), 219-240.
226. J. Vilms, Connections and maps Thesis, Columbia University, (1967).
227. J. Vilms, "Totally geodesic maps, " J. Diff. Geom., 4 (1970), 73-79.
228. B. Watson, "The first Betti numbers of certain locally trivial fibre spaces, " Bull. Amer. Math. Soc., 78 (1972), 392-393.
229. B. Watson, "δ-commuting mappings and Betti numbers, " Tôhoku Math. J., 27 (1975), 135-152.
230. B. M. Weinstock, "An approximation theorem for δ-closed forms of type (n, n-1), " Proc. Amer. Math. Soc., 26 (1970), 625-628.
231. J. C. Wood. Harmonic mappings between surfaces, Thesis, Warwick University, (1974).
232. J. C. Wood, "Singularities of harmonic maps and applications of the Gauss-Bonnet formula, " Amer. J. Math. (1978).
233. J. C. Wood, "Harmonic maps and complex analysis, " Proc. Summer Course in Complex Analysis, Trieste (1976). Vol. Ill, 289-308.
234. J. C. Wood, "A note on the fundamental group of a manifold of negative curvature, " Math. Proc. Cambridge Philos. Soc. (1978).
235. R. Wood, "A note on harmonic polynomial maps, " Preprint
236. H. H. Wu, "Mappings of Riemann surfaces (Nevanlinna theory), " Proc. Symp. Pure Math., 11 (1968), 480-532.
237. H. H. Wu, The equidistribution theory of holomorphic curves (Ann. of Math. Studies 64, 1970).
238. S. T. Yau, "On the fundamental group of compact manifolds of non-positive curvature, " Ann. of Math., 93 (1971), 579-585.
239. S. T. Yau, "A general Schwarz lemma for Kähler manifolds".
240. S. T. Yau, "Harmonic functions on complete Riemannian manifolds, " Comm. Pure Appl. Math., 28 (1975), 201-228.
241. S. T. Yau, "Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry, " Indiana J. Math., 25 (1976), 659-670.
242. S. Yorozu, "Notes on harmonic transformations, " Tôhoku Math. J., 24 (1972), 441-447.
243. S. Y. Cheng, "A characterization of the 2-sphere by eigenfunctions, " Proc. Amer. Math. Soc., 55 (1976), 379-381.
244. J. C. Mitteau, "Minimums locaux de l'énergie (courbure positive), " C. R. Paris, 282 (1976), 471-474.
245. O. Nouhaud, "Applications harmoniques d'une varété riemannienne dans son fibre tangent, " C. R. Paris, 284 (1977), 815-818.
246. R. M. Schoen, Existence and regularity for some geometric variational problems (Thesis, Stanford Univ, 1977).
247. D. Toledo, "Harmonic maps from surfaces to certain Kähler manifolds" (1978).
248. S. T. Yau, "Submanifolds with constant mean curvature, II, " Amer. J. Math., 97 (1975), 76-100.