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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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, 387โ€“394. MR 807063, DOI 10.1007/BF01388577
    • Gang Tian, private communication.
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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