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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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Free differentiable actions of $S^{1}$ and $S^{3}$ on homotopy spheres
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by Hsu-tung Ku and Mei-chin Ku
Proc. Amer. Math. Soc. 25 (1970), 864-869
DOI: https://doi.org/10.1090/S0002-9939-1970-0264697-2

Abstract:

It is shown that there are homotopy $(4n + 1)$- or $(4n + 3)$-spheres which admit infinitely many differentiable free actions of ${S^1}$ or ${S^3}$ with characteristic homotopy spheres in certain dimensions and without characteristic homotopy spheres in some other dimensions.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 864-869
  • MSC: Primary 57.47
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0264697-2
  • MathSciNet review: 0264697