Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds

Details Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds

2012-04-09

arxiv.org/abs/1204.1878v1

Mathematics

Differential Geometry

12 page. arXiv admin note: substantial text overlap with arXiv:1104.3451

Scientific paper

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 does not admit Vaisman metrics.

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