Homogeneous locally conformally Kaehler and Sasaki manifolds

Autor:	Alekseevsky, Dmitri V., Cortes, Vicente, Hasegawa, Keizo, Kamishima, Yoshinobu
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry
Zdroj:	International Journal of Mathematics, Vol. 26 (06), 1-29 (2015)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.3268 Zobrazit plný text záznamu View this record from Arxiv