Analyticit\'e des applications CR dans des vari\'et\'es presque complexes
Complex Variables
2013-02-26 v3
Abstract
We study the real analyticity of a CR mapping on the hypersurface defined by 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.
Keywords
Cite
@article{arxiv.1205.3262,
title = {Analyticit\'e des applications CR dans des vari\'et\'es presque complexes},
author = {Marianne Peyron},
journal= {arXiv preprint arXiv:1205.3262},
year = {2013}
}
Comments
in French