Does the inverse of Cartan's lemma on closed subgroup also hold? More precisely, if $G$ is a Lie group and $H$ a Lie subgroup that is also a regular submanifold of the underlying manifold of $G$, then should $H$ be closed in $G$ as a subspace?
2026-05-06 00:15:52.1778026552
Inverse of Cartan's lemma on closed subgroup
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