Compact homogeneous CR manifolds
Differential Geometry
2007-05-23 v1 Complex Variables
Abstract
We classify all compact simply connected homogeneous CR manifolds 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 of automorphisms of . We characterize also the standard homogeneous CR manifolds as the homogeneous CR manifolds whose group in not semisimple.
Keywords
Cite
@article{arxiv.math/0012097,
title = {Compact homogeneous CR manifolds},
author = {Dmitry V. Alekseevsky and Andrea F. Spiro},
journal= {arXiv preprint arXiv:math/0012097},
year = {2007}
}