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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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References | Similar articles | 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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