Homogeneous locally conformally Kahler and Sasaki manifolds

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Authors

ALEKSEEVSKY Dmitry CORTÉS SUAREZ Vicente HASEGAWA Kazuyuki KAMISHIMA Yoshinobu

Year of publication 2015
Type Article in Periodical
Magazine / Source International Journal of Mathematics
MU Faculty or unit

Faculty of Science

Citation
Web Full Text
Doi http://dx.doi.org/10.1142/S0129167X15410013
Field General mathematics
Keywords Locally conformally Kahler structure; Sasaki structure; Vaisman type; reductive Lie groups
Description We prove various classification results for homogeneous locally conformally symplectic manifolds. In particular, we show that a homogeneous locally conformally Kahler 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 non-compact normalizer and determine all left-invariant lcK structures on reductive Lie groups.
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