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

Bernhard Lamel, Nordine Mir, Dmitri Zaitsev

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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 AutCR (M) is a Lie group (in an appropriate topology). In particular, we obtain a Lie group structure for AutcR (M) when M is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.

Original languageEnglish
Pages (from-to)1709-1726
Number of pages18
JournalAmerican Journal of Mathematics
Volume130
Issue number6
DOIs
Publication statusPublished - 1 Dec 2008

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ASJC Scopus subject areas

  • Mathematics(all)

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