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Lie group structures on automorphism groups of real-analytic CR manifolds

Bernhard Lamel, Nordine Mir, Dmitri Zaitsev

math.CVarXiv:math/0611015

Abstract

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 is a Lie group (in an appropriate topology). Our conditions are in particular satisfied when M is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.

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