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4 votes
2 answers
530 views

a question about the isotropy subgroup of circle action on manifolds with isolated fixed point

Given a circle action on a closed, oriented smooth manifold $M^{2n}$ with isolated fixed points. My question is, does there always exist a point $p\in M$ such that the isotropy subgroup of $p$ is triv …
Ping's user avatar
  • 391
13 votes
2 answers
793 views

Does there exist smooth circle action on manifolds M^{4n} with exactly three fixed points su...

I have a question in mind for some time. That is, does there exist a smooth circle action on a closed manifold $M^{4n}$ ($n\geq 2$) with exactly three fixed points? Remarks:(1) For n=1, the examples a …
Ping's user avatar
  • 391