Local tube realizations of CR-manifolds and maximal Abelian subalgebras
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 1, pp. 99-128.

For every real-analytic CR-manifold M we give necessary and sufficient conditions that M can be realized in a suitable neighbourhood of a given point aM as a tube submanifold of some r . We clarify the question of the ‘right’ equivalence between two local tube realizations of the CR-manifold germ (M,a) by introducing two different notions of affine equivalence. One of our key results is a procedure that reduces the classification of equivalence classes to a purely algebraic manipulation in terms of Lie theory.

Publié le :
Classification : 32V05, 32V40, 32M25, 17B66
Fels, Gregor 1 ; kaup, Wilhelm 1

1 Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 72076 Tübingen, Germany
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Fels, Gregor; kaup, Wilhelm. Local tube realizations of CR-manifolds and maximal Abelian subalgebras. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 1, pp. 99-128. http://www.numdam.org/item/ASNSP_2011_5_10_1_99_0/

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