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Locally conformally Kähler manifolds with holomorphic Lee field
| Content Provider | Semantic Scholar |
|---|---|
| Author | Moroianu, Andrei Moroianu, Sergiu Ornea, Liviu |
| Copyright Year | 2017 |
| Abstract | Abstract We prove that a compact lcK manifold with holomorphic Lee vector field is Vaisman provided that either the Lee field has constant norm or the metric is Gauduchon (i.e., the Lee field is divergence-free). We also give examples of compact lcK manifolds with holomorphic Lee vector field which are not Vaisman. |
| Starting Page | 33 |
| Ending Page | 38 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.difgeo.2018.05.004 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1712.05821v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.difgeo.2018.05.004 |
| Volume Number | 60 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
