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Minimal tori in $ {\bf S}\sp 2\times {\bf S}\sp 1$

Authors: Chun Chung Hsieh and Ai Nung Wang
Journal: Proc. Amer. Math. Soc. 122 (1994), 323-324
MSC: Primary 53C42
MathSciNet review: 1243169
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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 [Enhancements On Off] (What's this?)

  • [1] F. Bowman, Introduction to elliptic functions with applications, Wiley, New York, 1953. MR 0058760 (15:420d)
  • [2] 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), 387-394. MR 807063 (87a:58040)
  • [3] Gang Tian, private communication.

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Keywords: Minimal surface, Ricci curvature
Article copyright: © Copyright 1994 American Mathematical Society

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