Lie group structures on automorphism groups of real-analytic CR manifolds
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Citation:D. Zaitsev, B. Lamel and N. Mir 'Lie group structures on automorphism groups of real-analytic CR manifolds' in American Journal of Mathematics, 130, (6), 2008, pp 1709-1726
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.
Science Foundation Ireland
Keywords:Pure & Applied Mathematics
Publisher:The Johns Hopkins University Press
Series/Report no:American Journal of Mathematics