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Proceedings of the American Mathematical Society

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

 

 

Minimal surfaces in $ S^{m}$ with Gauss curvature $ \leq 0$


Author: Bang-yen Chen
Journal: Proc. Amer. Math. Soc. 31 (1972), 235-238
MSC: Primary 53.04
DOI: https://doi.org/10.1090/S0002-9939-1972-0286000-6
MathSciNet review: 0286000
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Abstract: Closed minimal surfaces in a unit $ m$-sphere $ {S^m}$ with Gauss curvature $ K \leqq 0$ are considered.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0286000-6
Keywords: Minimal surfaces, Gauss curvature, flat surfaces, Clifford torus, minimal direction, Lipschitz-Killing curvature
Article copyright: © Copyright 1972 American Mathematical Society