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	https://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.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím