Complete embedded minimal surfaces of finite total curvature
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- by David A. Hoffman and William H. Meeks III PDF
- Bull. Amer. Math. Soc. 12 (1985), 134-136
References
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1. C. Costa, Imersões minimas completas em R3 de gênero um e curvatura total finita, Doctoral thesis, IMPA, Rio de Janeiro, Brasil, 1982.
- David A. Hoffman and Robert Osserman, The geometry of the generalized Gauss map, Mem. Amer. Math. Soc. 28 (1980), no. 236, iii+105. MR 587748, DOI 10.1090/memo/0236
- Luquésio P. Jorge and William H. Meeks III, The topology of complete minimal surfaces of finite total Gaussian curvature, Topology 22 (1983), no. 2, 203–221. MR 683761, DOI 10.1016/0040-9383(83)90032-0
- Robert Osserman, Global properties of minimal surfaces in $E^{3}$ and $E^{n}$, Ann. of Math. (2) 80 (1964), 340–364. MR 179701, DOI 10.2307/1970396
- Richard M. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Differential Geom. 18 (1983), no. 4, 791–809 (1984). MR 730928
Additional Information
- Journal: Bull. Amer. Math. Soc. 12 (1985), 134-136
- MSC (1980): Primary 53A10, 49F10, 58E12
- DOI: https://doi.org/10.1090/S0273-0979-1985-15318-2
- MathSciNet review: 766971