Informace o publikaci
Homogeneous locally conformally Kahler and Sasaki manifolds
Autoři | |
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Rok publikování | 2015 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | International Journal of Mathematics |
Fakulta / Pracoviště MU | |
Citace | |
www | Full Text |
Doi | http://dx.doi.org/10.1142/S0129167X15410013 |
Obor | Obecná matematika |
Klíčová slova | Locally conformally Kahler structure; Sasaki structure; Vaisman type; reductive Lie groups |
Popis | 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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