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arXiv · 1205.3262

Analyticit\'e des applications CR dans des vari\'et\'es presque complexes

Marianne Peyron
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Abstract

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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Marianne Peyron. 2012-05-15. Analyticit\'e des applications CR dans des vari\'et\'es presque complexes. https://arxiv.org/abs/1205.3262

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