메뉴 건너뛰기




Volumn 124, Issue 1, 1996, Pages 275-284

Harmonic maps with finite total energy

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002068871     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03170-x     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 0000928423 scopus 로고
    • Liouville theorem for harmonic maps
    • [Cg] Amer. Math. Soc., Providence, RI, MR 81i:58021
    • [Cg] S. Y. Cheng, Liouville theorem for harmonic maps, Proc. Sympos. Pure Math., vol. 36, Amer. Math. Soc., Providence, RI, 1980, pp. 147-151. MR 81i:58021
    • (1980) Proc. Sympos. Pure Math. , vol.36 , pp. 147-151
    • Cheng, S.Y.1
  • 2
    • 0010106079 scopus 로고
    • On the Liouville theorem for harmonic maps
    • [Ci] MR 83j:53073
    • [Ci] H. I. Choi, On the Liouville theorem for harmonic maps, Proc. Amer. Math. Soc. 85 (1982), 91-94. MR 83j:53073
    • (1982) Proc. Amer. Math. Soc. , vol.85 , pp. 91-94
    • Choi, H.I.1
  • 3
    • 0002209819 scopus 로고
    • The heat equation on noncompact Riemannian manifolds
    • [G]
    • [G] A. A. Grigor'yan, The heat equation on noncompact Riemannian manifolds, Mat. Sb. 182 (1) (1991), 55-87;
    • (1991) Mat. Sb. , vol.182 , Issue.1 , pp. 55-87
    • Grigor'yan, A.A.1
  • 4
    • 84956103754 scopus 로고
    • English transl., MR 92h:58189
    • English transl., Math. USSR-Sb. 72 (1992), no. 1, 47-77. MR 92h:58189
    • (1992) Math. USSR-Sb. , vol.72 , Issue.1 , pp. 47-77
  • 5
    • 0001446871 scopus 로고
    • A compactification of a manifold with asymptotically nonnegative curvature
    • [K] MR 90d:53049
    • [K] A. Kasue, A compactification of a manifold with asymptotically nonnegative curvature, Ann. Sci. École Norm. Sup. (4) 21 (1988), 593-622. MR 90d:53049
    • (1988) Ann. Sci. École Norm. Sup. (4) , vol.21 , pp. 593-622
    • Kasue, A.1
  • 6
    • 84960586494 scopus 로고
    • Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence
    • [Ke] MR 91g:58062
    • [Ke] W. S. Kendall, Probability, convexity, and harmonic maps with small image I: uniqueness and fine existence, Proc. London Math. Soc. (3) 61 (1990), 371-406. MR 91g:58062
    • (1990) Proc. London Math. Soc. (3) , vol.61 , pp. 371-406
    • Kendall, W.S.1
  • 7
    • 0000912918 scopus 로고
    • Symmetric Green's functions on complete manifolds
    • [L-T 1] MR 89f:58129
    • [L-T 1] P. Li and L. F. Tam, Symmetric Green's functions on complete manifolds, Amer. J. Math. 109 (1987), 1129-1154. MR 89f:58129
    • (1987) Amer. J. Math. , vol.109 , pp. 1129-1154
    • Li, P.1    Tam, L.F.2
  • 8
    • 0002864711 scopus 로고
    • The heat equation and harmonic maps of complete manifolds
    • [L-T 2] MR 93e:58039
    • [L-T 2] _, The heat equation and harmonic maps of complete manifolds, Invent. Math. 105 (1991), 1-46. MR 93e:58039
    • (1991) Invent. Math. , vol.105 , pp. 1-46
  • 9
    • 84972525278 scopus 로고
    • Green's functions, harmonic functions and volume comparison
    • [L-T 3] _
    • [L-T 3] _, Green's functions, harmonic functions and volume comparison, J. Differential Geom. 41 (1995), 277-318.
    • (1995) J. Differential Geom. , vol.41 , pp. 277-318
  • 10
    • 33645940539 scopus 로고    scopus 로고
    • [Ly] private communication.
    • [Ly] T. J. Lyons, private communication.
    • Lyons, T.J.1
  • 11
    • 84972525827 scopus 로고
    • Uniformly elliptic operators on Riemannian manifolds
    • [SC] MR 93m:58122
    • [SC] L. Saloff-Coste, Uniformly elliptic operators on Riemannian manifolds, J. Differential Geom. 36 (1992), 417-450. MR 93m:58122
    • (1992) J. Differential Geom. , vol.36 , pp. 417-450
    • Saloff-Coste, L.1
  • 12
    • 51249162314 scopus 로고
    • The span and principal functions in Riemannian spaces
    • [S-S-G] MR 32:1655
    • [S-S-G] L. Sario, M. Schiffer, and M. Glasner, The span and principal functions in Riemannian spaces, J. Analyse Math. 15 (1965), 115-134. MR 32:1655
    • (1965) J. Analyse Math. , vol.15 , pp. 115-134
    • Sario, L.1    Schiffer, M.2    Glasner, M.3
  • 13
    • 51249188982 scopus 로고
    • Harmonic maps and the topology of stable hypersurfaces and manifolds of nonnegative Ricci curvature
    • [S-Y 1] MR 55:11302
    • [S-Y 1] R. Schoen and S. T. Yau, Harmonic maps and the topology of stable hypersurfaces and manifolds of nonnegative Ricci curvature, Comment. Math. Helv. 39 (1976), 333-341. MR 55:11302
    • (1976) Comment. Math. Helv. , vol.39 , pp. 333-341
    • Schoen, R.1    Yau, S.T.2
  • 14
    • 0000632131 scopus 로고
    • Compact group actions and the topology of manifolds with non-positive curvature
    • [S-Y 2] MR 81a:53044
    • [S-Y 2] _, Compact group actions and the topology of manifolds with non-positive curvature, Topology 18 (1979), 361-380. MR 81a:53044
    • (1979) Topology , vol.18 , pp. 361-380
  • 16
    • 0001598968 scopus 로고
    • Potential theory and diffusion on Riemannian manifolds
    • [V] Wadsworth Math. Ser., Wadsworth, Belmont, CA, MR 85a:58103
    • [V] N. Varopoulos, Potential theory and diffusion on Riemannian manifolds, Conference on Harmonic Analysis in Honor of Antoni Zygmund, Vols. I, II, Wadsworth Math. Ser., Wadsworth, Belmont, CA, 1983, pp. 821-837. MR 85a:58103
    • (1983) Conference on Harmonic Analysis in Honor of Antoni Zygmund , vol.1-2 , pp. 821-837
    • Varopoulos, N.1
  • 17
    • 33645899904 scopus 로고    scopus 로고
    • [W] private communication
    • [W] J.-P. Wang, private communication.
    • Wang, J.-P.1
  • 18
    • 84980178548 scopus 로고
    • Harmonic functions on complete Riemannian manifolds
    • [Y] MR 55:4042
    • [Y] S. T. Yau, Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math. 28 (1975), 201-228. MR 55:4042
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 201-228
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.