The topology and geometry of embedded surfaces of constant mean curvature
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- by William H. Meeks III PDF
- Bull. Amer. Math. Soc. 17 (1987), 315-317
References
- A. D. Aleksandrov, Uniqueness theorems for surfaces in the large. I, Vestnik Leningrad. Univ. 11 (1956), no. 19, 5–17 (Russian). MR 0086338 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.
- David A. Hoffman and William H. Meeks III, Complete embedded minimal surfaces of finite total curvature, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 1, 134–136. MR 766971, DOI 10.1090/S0273-0979-1985-15318-2
- David A. Hoffman and William Meeks III, A complete embedded minimal surface in $\textbf {R}^3$ with genus one and three ends, J. Differential Geom. 21 (1985), no. 1, 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.
- Richard Schoen, Estimates for stable minimal surfaces in three-dimensional manifolds, Seminar on minimal submanifolds, Ann. of Math. Stud., vol. 103, Princeton Univ. Press, Princeton, NJ, 1983, pp. 111–126. MR 795231
Additional Information
- Journal: Bull. Amer. Math. Soc. 17 (1987), 315-317
- MSC (1985): Primary 53A10
- DOI: https://doi.org/10.1090/S0273-0979-1987-15573-X
- MathSciNet review: 903741