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

• Autores: Bernhard Lamel, Nordine Mir, Dmitri Zaitsev
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 6, 2008, págs. 1709-1726
• Idioma: inglés
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• Resumen

  • 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 Aut$_{CR}(M)$ is a Lie group (in an appropriate topology). In particular, we obtain a Lie group structure for Aut$_{CR}(M)$ when $M$ is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.