Homogeneous locally conformally Kaehler and Sasaki manifolds
Differential Geometry
2016-01-15 v2
Abstract
We prove various classification results for homogeneous locally conformally symplectic manifolds. In particular, we show that a homogeneous locally conformally Kaehler manifold of a reductive group is of Vaisman type, if the normalizer of the isotropy group is compact. We also show that such a result does not hold in the case of noncompact normalizer and determine all left-invariant locally conformally Kaehler structures on reductive Lie groups.
Keywords
Cite
@article{arxiv.1403.3268,
title = {Homogeneous locally conformally Kaehler and Sasaki manifolds},
author = {Dmitri V. Alekseevsky and Vicente Cortes and Keizo Hasegawa and Yoshinobu Kamishima},
journal= {arXiv preprint arXiv:1403.3268},
year = {2016}
}
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33 pages