English

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 \h\h defined by \h={z\Cn,(zn)+z2=0}\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.

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}
}

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in French

R2 v1 2026-06-21T21:04:10.733Z