CR automorphisms of real analytic manifolds In complex space

1996/03/11 by Baouendi, M. S., Ebenfelt, P., Rothschild, L. P.
#32 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/9603201

Abstract

In this paper we shall give sufficient conditions for local CR diffeomorphisms between two real analytic submanifolds of \Bbb C^N to be determined by finitely many derivatives at finitely many points. These conditions will also be shown to be necessary in model cases. We shall also show that under the same conditions, the Lie algebra of the infinitesimal CR automorphisms at a point is finite dimensional.

Related

• Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds
• Characterization of real-analytic infinitesimal CR automorphisms for a class of hypersurfaces in \Bbb C⁴.
• Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms
• Infinitesimal and local rigidity of mappings of CR manifolds
• On the analyticity of CR-diffeomorphisms