Vaisman metrics on solvmanifolds and Oeljeklaus–Toma manifolds
We prove the non‐existence of Vaisman metrics on some solvmanifolds with left‐invariant complex structures. By this theorem, we show that Oeljeklaus–Toma manifolds do not admit Vaisman metrics.
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2013-02, Vol.45 (1), p.15-26 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove the non‐existence of Vaisman metrics on some solvmanifolds with left‐invariant complex structures. By this theorem, we show that Oeljeklaus–Toma manifolds do not admit Vaisman metrics. |
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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/blms/bds057 |