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Results tagged with smooth-manifolds
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user 129935
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
1
answer
497
views
Is $H$ closed in $G$?
Every smooth manifold is assumed to be Hausdorff and second-countable.
Suppose $G$ is a Lie group, $H$ is a Lie subgroup of $G$, $N$ is a closed Lie subgroup of $G$ such that $N$ is normal, $N\cap H= …
- 63.9k
5
votes
1
answer
148
views
Is $S$ a smooth submanifold of $M$?
Let $G$ be a Lie group and $H$ a Lie subgroup of $G$.
Let $M$ be a smooth manifold.
Let $\theta$ be a left smooth action of $G$ on $M$.
Let $S=\{p\in M| G_p=H\}$, where $G_p$ is the isotropy gro …
- 26.3k