On the regularity of CR mappings between CR manifolds of hypersurface type

Author:

Berhanu S.,Xiao Ming

Abstract

We prove smooth and analytic versions of the classical Schwarz reflection principle for transversal CR mappings between two Levi-nondegenerate CR manifolds of hypersurface type.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference31 articles.

1. Princeton Mathematical Series;Baouendi, M. Salah,1999

2. On the analyticity of CR mappings;Baouendi, M. S.;Ann. of Math. (2),1985

3. Super-rigidity for holomorphic mappings between hyperquadrics with positive signature;Baouendi, M. S.;J. Differential Geom.,2005

4. Proper holomorphic mappings;Bedford, Eric;Bull. Amer. Math. Soc. (N.S.),1984

5. Proper holomorphic mappings of complex spaces;Bell, Steven R.,1990

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