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Constant mean curvature surfaces in Euclidean three-space
Author(s):
Nicolaos
Kapouleas
Journal:
Bull. Amer. Math. Soc.
17
(1987),
318-320.
MSC (1980):
Primary 53A10;
Secondary 49F99
MathSciNet review:
903742
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Additional information
References:
- [A] A. D. Alexandrov, Uniqueness theorems for surfaces in the large. I, Vestnik Leningrad Univ. Math. 11 (1956), 5-17. (Russian) MR 86338
- [D] C. Delaunay, Sur la surface de révolution dont la courbure moyenne est constant, J. Math. Pures Appl. (1) 6 (1841), 309-320.
- [H] Wu-Yi Hsiang, Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. I, J. Differential Geom. 17 (1982), 337-356. MR 664499
- [K1] N. Kapouleas, Complete constant mean curvature surfaces in Euclidean three-space, preprint. MR 1043269
- [K2] N. Kapouleas, Compact constant mean curvature surfaces in Euclidean three-space, preprint. MR 1100207
- [L] H. B. Lawson, Jr., Complete minimal surfaces in S3, Ann. of Math. (2) 90 (1970), 335-374.
- [W] H. C. Wente, Counterexample to a conjecture of H. Hopf, Pacific J. Math. 121 (1986), 193-243. MR 815044
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15575-3
PII:
S 0273-0979(1987)15575-3
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