Lie group structures on automorphisms groups of real-analytic CR manifolds
Résumé
Given any real-analytic CR manifold $M$, we provide general conditions on $M$ guaranteeing that the group of all its global real-analytic CR automorphisms $\Aut_\CR(M)$ is a Lie group (in an appropriate topology). In particular, we obtain a Lie group structure for $\Aut_\CR(M)$ when $M$ is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.
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