Compact homogeneous CR manifolds

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We classify all compact simply connected homogeneous CR manifolds $M$ of codimension one and with non-degenerate Levi form up to CR equivalence. The classification is based on our previous results and on a description of the maximal connected compact group $G(M)$ of automorphisms of $M$. We characterize also the standard homogeneous CR manifolds as the homogeneous CR manifolds whose group $G(M)$ in not semisimple.

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Differential Geometry, Complex Variables, Primary 32V05; Secondary 53D10 57S25 53C30

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http://salesiana.dossiersoluciones.com/handle/123456789/60561

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012097
 http://arxiv.org/abs/math/0012097

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arXiv