Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds
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]
|Collections||ANU Research Publications|
|Source:||Journal of Geometric Analysis|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.