Homogeneous locally conformally Kahler and Sasaki manifolds

• Autoři: ALEKSEEVSKY Dmitry; CORTÉS SUAREZ Vicente; HASEGAWA Kazuyuki; KAMISHIMA Yoshinobu
• Rok publikování: 2015
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: International Journal of Mathematics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• 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.

Související projekty

• Algebraické metody v geometrii s potenciálem k aplikacím