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Deformations of CR manifolds, parametrizations of automorphisms, and applications

Deformations of CR manifolds, parametrizations of automorphisms, and applications

We prove a parametrization theorem for maps of deformations of minimal, holomorphically nondegenerate real-analytic CR manifolds.This is used to deduce results on biholomorphic equivalence; we show that one can, for any germ of a minimal, holomorphically nondegenerate real-analytic CR manifold (M, p) construct a function which completely characterizes the CR …