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

Masuda, Mikiya

doi:10.1090/S0002-9939-1984-0749903-X

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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