On the Schwarz symmetry principle in a model case
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- by Joël Merker and Francine Meylan PDF
- Proc. Amer. Math. Soc. 127 (1999), 1097-1102 Request permission
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.References
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Additional Information
- Joël Merker
- Affiliation: Centre de Mathématiques et d’Informatique, Laboratoire d’Analyse, Topologie et Probabilités, 39 rue Joliot Curie, F-13453 Marseille Cedex 13, France
- Email: merker@dmi.ens.fr, merker@gyptis.univ-mrs.fr
- Francine Meylan
- Affiliation: Université de Fribourg, Institut de Mathématiques, 1700 Perolles, Fribourg, Suisse
- MR Author ID: 355901
- Email: meylan@unifr.ch
- Received by editor(s): July 23, 1997
- Additional Notes: The first author was partially supported by the École Normale Supérieure, and the second author by Swiss NSF Grant 2000-042054.94/1.
- Communicated by: Steven R. Bell
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1097-1102
- MSC (1991): Primary 32H02; Secondary 32C05, 32C16
- DOI: https://doi.org/10.1090/S0002-9939-99-04688-2
- MathSciNet review: 1476379