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

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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.
16 pages

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Complex Variables, Differential Geometry, 32H02, 32V20, 32V25, 32V35, 32V40, 22E99

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http://salesiana.dossiersoluciones.com/handle/123456789/215441

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611015
 http://arxiv.org/abs/math/0611015
 Amer. J. Math., 130(6), 1709--1726, (2008).

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arXiv