Compact homogeneous CR manifolds

Dmitry V. Alekseevsky; Andrea F. Spiro

Compact homogeneous CR manifolds

微分几何 2007-05-23 v1 复变函数

作者: Dmitry V. Alekseevsky , Andrea F. Spiro

摘要

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.

关键词

holonomy kähler manifolds topological groups

引用

@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}
}

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