Analyticité des applications CR dans des variétés presque complexes

We study the real analyticity of a CR mapping on the hypersurface $\h$ defined by $\h={z\in\C^n,\Re(z_n)+|z'|^2=0}$ in model almost complex manifolds. We make use of a method of prolongation for the tangential Cauchy-Riemann equations and a result about complete systems. We also prove that a CR mapping is real analytic when the almost complex structure of the codomain is a deformation of a model structure and the function defining the hypersurface in the codomain has a particular form.

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Source https://hal.science/hal-00697230
Author Peyron, Marianne
Maintainer CCSD
Last Updated May 14, 2026, 05:33 (UTC)
Created May 14, 2026, 05:33 (UTC)
Identifier hal-00697230
Language fr
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut Fourier (IF) ; Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])
creator Peyron, Marianne
date 2012-05-14T00:00:00
harvest_object_id f6dfafec-534d-4c75-8a08-2b151aa24e92
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-16T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1205.3262
set_spec type:UNDEFINED