Finite jet determination of CR embeddings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2004Embargo end date: 01 Jun 2002 Austria English Publisher:Springer Science and Business Media LLCJournal:The Journal of Geometric Analysis, volume 14, pages 241-265 (issn: 1050-6926, eissn: 1559-002X,

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Authors: Lamel, Bernhard; Ebenfelt, Peter;

doi: 10.1007/bf02922071 , 10.48550/arxiv.math/0206287

arXiv: math/0206287

Finite jet determination of CR embeddings

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Abstract

We prove finite jet determination results for smooth CR embeddings which are of constant degeneracy, using the method of complete systems. As an application, we derive a reflection principle for mappings between a Levi-nondegenerate hypersurface in C^N and a Levi-nondegenerate hypersurface in C^{N+1}. We also give an independent proof of the reflection principle for mappings between strictly pseudoconvex hypersurfaces in any codimension due to Forstneric.

21 pages AMS LaTeX, uses PSTricks

Country

Austria

Related Organizations

University of California, San Diego
United States
University of Vienna
Austria

Keywords

1010 Mathematics, Mathematics - Complex Variables, 1010 Mathematik, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Extension of functions and other analytic objects from CR manifolds, CR embeddings, Embeddings of CR manifolds, 32H02, Jet determination, FOS: Mathematics, CR manifolds, Complex Variables (math.CV), Boundary uniqueness of mappings in several complex variables, Finite-type conditions on CR manifolds

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