Consider the Lie group action $G$ on the manifold $M$. Let $N$ be a submanifold of $M$. Let $G_N:=\{g\in G; g\cdot N\subseteq N\} $ be the stabilizer of $N$.
Is $G_N$ a Lie subgroup of $G$? How to prove that?
2026-04-02 05:28:46.1775107726
The stabilizer of a submanifold
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