Properties of properly embedded minimal surfaces of finite topology

Authors:
David Hoffman and William H. Meeks III

Journal:
Bull. Amer. Math. Soc. **17** (1987), 296-300

MSC (1985):
Primary 53A10

DOI:
https://doi.org/10.1090/S0273-0979-1987-15566-2

MathSciNet review:
903736

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**1.**M. Callahan, D. Hoffman and W. H. Meeks III,*Embedded minimal surfaces with*4*ends*, preprint.**2.**L. Jorge and W. H. Meeks III,*The topology of complete minimal surfaces of finite total Gaussian curvature*, Topology 22 (1983), 203-221. MR**683761****3.**L. Jorge and F. Xavier,*A complete minimal surface in R**between parallel planes*, Ann. of Math. (2) 112 (1983), 203-206. MR**584079****4.**D. Hoffman,*The construction of families of embedded minimal surfaces*, to appear in the Proceedings of the Stanford Conference on Variational Methods for Free Surface Interfaces, September 1985. MR**872885****5.**D. Hoffman,*The computer-aided discovery of new embedded minimal surfaces*, Math. Intelligencer (to appear). MR**895770****6.**D. Hoffman and W. H. Meeks III,*Complete embedded minimal surfaces of finite total curvature*, Bull. Amer. Math. Soc. 12 (1985), 134-136. MR**766971****7.**D. Hoffman,*A complete embedded minimal surface in R**with genus one and three ends*, J. Differential Geom. 21 (1985), 109-127. MR**806705****8.**D. Hoffman,*The global theory of embedded minimal surfaces*(preprint).**9.**D. Hoffman,*One-parameter families of embedded minimal surfaces*(in preparation).**10.**D. Hoffman,*Limits of minimal surfaces and Scherk's second surface*(in preparation).**11.**R. Kusner,*Conformal geometry and complete minimal surfaces*, Bull. Amer. Math. Soc. 17 (1987), 291-295. MR**903735****12.**R. Osserman,*A survey of minimal surfaces*, (2nd ed.), Dover Publications, New York (1986); or*Global properties of minimal surfaces in E*and*E*, Ann. of Math. (2) 80 (1964), 340-364. MR**852409****13.**H. Rosenberg and E. Toubiana,*A cylindrical type complete minimal surface in a slab of*R^{3}, preprint.**14.**R. Schoen,*Uniqueness, symmetry, and embeddedness of minimal surfaces*, J. Differential Geom. 18 (1983), 791-809. MR**730928**

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DOI:
https://doi.org/10.1090/S0273-0979-1987-15566-2