Lie group structures on automorphism groups of real-analytic CR manifolds Academic Article uri icon


  • 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. 2008 by The Johns Hopkins University Press.

published proceedings

  • American Journal of Mathematics

author list (cited authors)

  • Lamel, B., Mir, N., & Zaitsev, D.

citation count

  • 5

complete list of authors

  • Lamel, Bernhard||Mir, Nordine||Zaitsev, Dmitri

publication date

  • January 2008