CR automorphisms of real analytic manifolds In complex space

Details CR automorphisms of real analytic manifolds In complex space CR automorphisms of real analytic manifolds In complex space

1996-03-11

arxiv.org/abs/math/9603201v1

Mathematics

Complex Variables

Scientific paper

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.

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