Compact homogeneous CR manifolds

Details Compact homogeneous CR manifolds Compact homogeneous CR manifolds

2000-12-12

arxiv.org/abs/math/0012097v1

Mathematics

Differential Geometry

Scientific paper

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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