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

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  • Publisher: The Johns Hopkins University Press
  • Subject: Pure & Applied Mathematics

PUBLISHED Given any real-analytic CR manifold M, we provide general conditions on M guar- anteeing 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. The first author was supported by the Austrian Science Fund FWF, Project P17111 and Project P19667. The second author was supported in part by the French National Agency for Research (ANR), project RESONANCES (programmes blancs). The third author was supported in part by Science Foundation Ireland.
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