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Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds

Isaev, Alexander; Kaup, W.

Description

Let M be a connected generic real-analytic CR-submanifold of a finite-dimensional complex vector space E. Suppose that for every a ∈ M the Lie algebra hol(M,a) of germs of all infinitesimal real-analytic CR-automorphisms of M at a is finite-dimensional and its complexification contains all constant vector fields α∂/∂z , α ∈ E, and the Euler vector field z∂/∂z. Under these assumptions we show that: (I) every hol(M,a) consists of polynomial vector fields, hence coincides with the Lie algebra...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/100217
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-010-9181-9

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