Let $\psi: G\rightarrow \mathrm{Diff}(M)$ be a smooth non-trivial action of a compact connected Lie group $G$ on a compact connected smooth manifold $M$.
Under which assumptions there will be a finite number of fixed points on $M$ by the action?
Let $\psi: G\rightarrow \mathrm{Diff}(M)$ be a smooth non-trivial action of a compact connected Lie group $G$ on a compact connected smooth manifold $M$.
Under which assumptions there will be a finite number of fixed points on $M$ by the action?
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