The moduli space of complete embedded constant mean curvature surfaces

Geometric and Functional Analysis

Volumn 6, Issue 1, 1996, Pages 120-137

  Kusner, Rob ^a   Mazzeo, Rafe ^b   Pollack, Daniel ^c  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b STANFORD UNIVERSITY   (United States)

^c UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030555565     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02246769     Document Type: Article

References (16)

1. J. BERGLUND, Ph.D. Thesis, University of Massachusetts at Amherst, 1996.
2. C. DELAUNAY, Sur la surface de revolution dont la courbure moyenne est constant, J. Math. Pure Appl. 6 (1841), 309-320.
3. K. GROSSE-BRAUCKMANN, New surfaces of constant mean curvature, Math. Z. 214 (1993), 527-565.
4. K. GROSSE-BRAUCKMANN, R. KUSNER, On the moduli spaces of embedded constant mean curvature surfaces with three or four ends, GANG Preprint.
5. W.Y. HSIANG, On generalization of theorems of A.D. Alexandrov and C. Delaunay on hypersurfaces of constant mean curvature, Duke Math. Jour. 49 (1982), 485-496.
6. N. KAPOULEAS, Complete constant mean curvature surfaces in Euclidean three-space, Ann. of Math. 131 (1990), 239-330.
7. N. KOREVAAR, R. KUSNER, The global structure of constant mean curvature surfaces, Invent. Math. 114 (1993), 311-332.
8. N. KOREVAAR, R. KUSNER, W. MEEKS III, B. SOLOMON, Constant mean curvature surfaces in hyperbolic space, Amer. J. Math. 114 (1992), 1-43.
9. N. KOREVAAR, R. KUSNER, B. SOLOMON, The structure of complete embedded surfaces with constant mean curvature, J. Diff. Geom. 30 (1989), 465-503.
10. R. MAZZEO, D. POLLACK, K. UHLENBECK, Moduli spaces of singular Yamabe metrics, To appear, Jour. Amer. Math. Soc.
11. R. MAZZEO, D. POLLACK, K. UHLENBECK, Connected sum constructions for constant scalar curvature metrics, Preprint.
12. W. MEEKS III, The topology and geometry of embedded surfaces of constant mean curvature, J. Differential Geometry 27 (1988), 539-552.
13. R. MELROSE, The Atiyah-Patodi-Singer Index Theorem, AK Peters Ltd., Wellesley, MA, 1993.
14. R. SCHOEN, The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation, Comm. Pure and Appl. Math. XLI (1988), 317-392.
15. L. SIMON, Asymptotics for a class of non-linear evolution equations, with applications to geometric problems, Annals of Math. 118 (1983), 525-571.
16. C. TAUBES, Gauge theory on asymptotically periodic 4-manifolds, J. Differential Geometry 25 (1987), 363-430.