Suppose a Lie group $G$ acts smoothly and properly on a manifold-with-boundary $M$. What can one say about the action of $G$ in relation to the presence of the boundary? For example, does the action induce a (proper) action on $\partial M$ (and hence on $M\backslash\partial M$)?
2026-04-05 18:40:08.1775414408
Action of Lie group on a manifold with boundary
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