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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Codimension two nonorientable submanifolds with nonnegative curvature
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by Yuriko Y. Baldin and Francesco Mercuri
Proc. Amer. Math. Soc. 103 (1988), 918-920
DOI: https://doi.org/10.1090/S0002-9939-1988-0947682-8

Abstract:

We prove that a compact nonorientable $n$-dimensional submanifold of ${{\mathbf {R}}^{n + 2}}$ with nonnegative curvature is a "generalized Klein bottle" if $n \geq 3$.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 918-920
  • MSC: Primary 53C40
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947682-8
  • MathSciNet review: 947682