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Complete embedded minimal surfaces of finite total curvature
Author(s):
David A.
Hoffman;
William H.
Meeks III
Journal:
Bull. Amer. Math. Soc.
12
(1985),
134-136.
MSC (1980):
Primary 53A10, 49F10, 58E12
MathSciNet review:
766971
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References:
- 1.
- C. Costa, Imersões minimas completas em R3 de gênero um e curvatura total finita, Doctoral thesis, IMPA, Rio de Janeiro, Brasil, 1982.
- 2.
- D. Hoffman and R. Osserman, The geometry of the generalized Gauss map, Mem. Amer. Math. Soc. No. 236 (1980). MR 587748
- 3.
- L. Jorge and W. Meeks III, The topology of complete minimal surfaces of finite total Gaussian curvature, Topology 22 (1983), 203-221. MR 683761
- 4.
- R. Osserman, Global properties of complete minimal surfaces in E, Ann. of Math. (2) 80 (1964), 340-364. MR 179701
- 5.
- R. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Differential Geom. 18 (1983), 791-809. MR 730928
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53A10, 49F10, 58E12
Additional Information:
DOI:
10.1090/S0273-0979-1985-15318-2
PII:
S 0273-0979(1985)15318-2
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