Let M be a complete nondegenerate locally standard C R manifold. We show that a necessary and sufficient condition for M to be compact is that the Lie algebra of its infinitesimal CR automorphisms is semisimple. In general we realize M as a Mostow fibration over a compact CR manifold B whose universal covering is a Cartesian product of Hermitian symmetric spaces and compact nondegenerate standard CR manifolds.
Complete nondegenerate locally standard CR manifolds / Medori, Costantino; M., Nacinovich. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 317:3(2000), pp. 509-526. [10.1007/PL00004412]
Complete nondegenerate locally standard CR manifolds
MEDORI, Costantino;
2000-01-01
Abstract
Let M be a complete nondegenerate locally standard C R manifold. We show that a necessary and sufficient condition for M to be compact is that the Lie algebra of its infinitesimal CR automorphisms is semisimple. In general we realize M as a Mostow fibration over a compact CR manifold B whose universal covering is a Cartesian product of Hermitian symmetric spaces and compact nondegenerate standard CR manifolds.File in questo prodotto:
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