Publication details
Homogeneous locally conformally Kahler and Sasaki manifolds
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Mathematics |
| MU Faculty or unit | |
| 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. |
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