|
Properties of properly embedded minimal surfaces of finite topology
Author(s):
David
Hoffman;
William H.
Meeks III
Journal:
Bull. Amer. Math. Soc.
17
(1987),
296-300.
MSC (1985):
Primary 53A10
MathSciNet review:
903736
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 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 R3, preprint.
- 14.
- R. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Differential Geom. 18 (1983), 791-809. MR 730928
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
53A10
Retrieve articles in all Journals with MSC
(1985):
53A10
Additional Information:
DOI:
10.1090/S0273-0979-1987-15566-2
PII:
S 0273-0979(1987)15566-2
|
Comments: webmaster@ams.org