Analyticité des applications CR dans des variétés presque complexes

الأصل · EN

We study the real analyticity of a CR mapping on the hypersurface defined by ={z∈ⁿ,(zₙ)+|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.