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Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
2
votes
Fixed component of an $S^1$ action on $S^n$
It is known that $M$ has the homology of a sphere, see [1] But you probably knew that.
What you also can describe pretty nicely is the cohomology of the orbit space $S^n/G$. To be more precise $S^n/G …
4
votes
Pseudofree $T^2$ actions on spheres
This should only be considered as a comment to the answer above, unfortunately it does not fit in a comment.
One can show, that $\mathbb{Z}_p\times \mathbb{Z}_p$ cannot act freely on $S^n$ also via " …