Homogeneous locally conformally Kahler and Sasaki manifolds

Warning

This publication doesn't include Faculty of Sports Studies. It includes Faculty of Science. Official publication website can be found on muni.cz.

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