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
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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