Minimal tori in $\textbf {S}^ 2\times \textbf {S}^ 1$
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- by Chun Chung Hsieh and Ai Nung Wang PDF
- Proc. Amer. Math. Soc. 122 (1994), 323-324 Request permission
Abstract:
Choi and Schoen (1985) have shown that for a positively Ricci curved three-fold M, the family of embedded minimal surfaces of a fixed genus is compact. It is of interest to know how much the positivity condition can be relaxed.References
- F. Bowman, Introduction to elliptic functions with applications, English Universities Press, Ltd., London, 1953. MR 0058760
- Hyeong In Choi and Richard Schoen, The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature, Invent. Math. 81 (1985), no.ย 3, 387โ394. MR 807063, DOI 10.1007/BF01388577 Gang Tian, private communication.
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 323-324
- MSC: Primary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1994-1243169-9
- MathSciNet review: 1243169