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The topology and geometry of embedded surfaces of constant mean curvature
Author(s):
William H.
Meeks III
Journal:
Bull. Amer. Math. Soc.
17
(1987),
315-317.
MSC (1985):
Primary 53A10
MathSciNet review:
903741
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Additional information
References:
- 1.
- A. D. Alexandrov, Uniqueness theorems for surfaces in the large. I, Vestnik Leningrad Univ. Math. 11 (1956), 5-17. (Russian) MR 86338
- 2.
- L. Barbosa, J. Gomes, and A. Silveira, personal communication.
- 3.
- M. Callahan, D. Hoffman and W. H. Meeks III, Embedded minimal surfaces with 4 ends, preprint.
- 4.
- G. Darboux, Leçons sur la theorie générale des surfaces, Première partie, Gauthier-Villars, Paris (nouveau tirage), 1941.
- 5.
- D. Hoffman and W. H. Meeks III, Complete embedded minimal surfaces of finite total curvature, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 134-135. MR 766971
- 6.
- D. Hoffman and W. H. Meeks III, A complete embedded minimal surface in R, J. Differential Geom. 21 (1985), 109-127. MR 806705
- 7.
- D. Hoffman and W. H. Meeks III, The classical theory of minimal surfaces, preprint.
- 8.
- N. Kapouleas, personal communication of thesis results.
- 9.
- W. H. Meeks III, The topology and geometry of embedded surfaces of constant mean curvature, preprint.
- 10.
- B. Palmer, Ph.D. Thesis, Stanford University, 1986.
- 11.
- A. Silveira, Stable surfaces of constant mean curvature, Ph.D. thesis, IMPA, Rio de Janeiro, Brazil, 1986.
- 12.
- R. Schoen, Estimates for stable minimal surfaces in three dimensional manifolds, Seminar on Minimal Submanifolds, Ann. of Math. Studies 103, Princeton Univ. Press, Princeton, N.J., 1983. MR 795231
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15573-X
PII:
S 0273-0979(1987)15573-X
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