On the Schwarz symmetry principle in a model case |
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| Authors: | Joë l Merker Francine Meylan |
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| Institution: | Centre de Mathématiques et d'Informatique, Laboratoire d'Analyse, Topologie et Probabilités, 39 rue Joliot Curie, F-13453 Marseille Cedex 13, France ; Université de Fribourg, Institut de Mathématiques, 1700 Perolles, Fribourg, Suisse |
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| Abstract: | In this article, we prove that smooth CR diffeomorphisms between two real analytic holomorphically nondegenerate hypersurfaces, one of which is rigid and polynomial, extend to be locally biholomorphic. It turns out that the result can be generalized to not totally degenerate mappings, in the sense of Baouendi and Rothschild. |
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| Keywords: | Schwarz symmetry principle CR mappings real analytic manifolds |
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