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Proceedings of the American Mathematical Society

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Smooth group actions on sphere bundles over spheres and on Brieskorn manifolds


Author: Mikiya Masuda
Journal: Proc. Amer. Math. Soc. 92 (1984), 119-124
MSC: Primary 57S17
DOI: https://doi.org/10.1090/S0002-9939-1984-0749903-X
MathSciNet review: 749903
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Abstract: This paper solves one of the problems in [2] proposed by M. Davis. Our result asserts that natural smooth actions on certain sphere bundles over spheres are distinct from those on certain Brieskorn manifolds. Besides this an alternative proof to a result of Davis is given which seems rather more direct than his proof.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0749903-X
Keywords: Smooth actions
Article copyright: © Copyright 1984 American Mathematical Society