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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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Finite type cones shaped on spherical submanifolds
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by Oscar J. Garay PDF
Proc. Amer. Math. Soc. 104 (1988), 868-870 Request permission

Abstract:

The only finite type cones shaped on spherical submanifolds are minimal ones.
References
  • Bang-Yen Chen, Total mean curvature and submanifolds of finite type, Series in Pure Mathematics, vol. 1, World Scientific Publishing Co., Singapore, 1984. MR 749575, DOI 10.1142/0065
  • Bang-Yen Chen, Finite type submanifolds and generalizations, Università degli Studi di Roma “La Sapienza”, Istituto Matematico “Guido Castelnuovo”, Rome, 1985. MR 833510
  • James Simons, Minimal varieties in riemannian manifolds, Ann. of Math. (2) 88 (1968), 62–105. MR 233295, DOI 10.2307/1970556
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 868-870
  • MSC: Primary 53C40
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0929414-2
  • MathSciNet review: 929414