Local tube realizations of CR-manifolds and maximal abelian subalgebras

Details Local tube realizations of CR-manifolds and maximal abelian subalgebras Local tube realizations of CR-manifolds and maximal abelian subalgebras

2008-10-11

arxiv.org/abs/0810.2019v2

Mathematics

Complex Variables

1 figure The text has been partly reorganized (especially sections 3 and 4) and simplified. Also extensions have been made suc

Scientific paper

For every CR-manifold germ (M,a) local tube realizations are characterized by certain abelian subalgebras of the real Lie algebra hol(M,a) of all germs of (real-analytic) infinitesimal transformations. For instance, if M is holomorphically non-degenerate, every such subalgebra is maximal abelian and the classification of all local tube realizations for (M,a) reduces to a purely algebraic problem.

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