Analyticité des applications CR dans des variétés presque complexes

Marianne Peyron (1)

1 IF - Institut Fourier

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.

Mots clés: model almost complex structure; analyticity; CR mapping

Domaines: Variables complexes [math.CV]

Marianne Peyron. Analyticité des applications CR dans des variétés presque complexes. 2012. ⟨hal-00697230v3⟩