Merker, Joël; Meylan, Francine On the Schwarz symmetry principle in a model case. (English) Zbl 0919.32011 Proc. Am. Math. Soc. 127, No. 4, 1097-1102 (1999). Let \(f:M\rightarrow M'\) be a \(C^{\infty}\)-smooth CR diffeomorphism between real analytic, holomorphically non degenerate hypersurfaces in \(\mathbb{C^n}\), which is holomorphic on one side of \(M\). The authors establish the Schwarz symmetry principle in case \(M'\) is in addition rigid and polynomial. It is not required that \(M\) be algebraic. Reviewer: Martin Chuaqui (Santiago de Chile) Cited in 3 Documents MSC: 32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables 32C05 Real-analytic manifolds, real-analytic spaces 32V99 CR manifolds Keywords:Schwarz symmetry principle; CR mappings; real analytic manifolds PDF BibTeX XML Cite \textit{J. Merker} and \textit{F. Meylan}, Proc. Am. Math. Soc. 127, No. 4, 1097--1102 (1999; Zbl 0919.32011) Full Text: DOI OpenURL