Vaisman metrics on solvmanifolds and $d_θ$-cohomology

Details Vaisman metrics on solvmanifolds and $d_θ$-cohomology Vaisman metrics on solvmanifolds and $d_θ$-cohomology

2011-04-18

arxiv.org/abs/1104.3451v1

Mathematics

Complex Variables

12 pages

Scientific paper

We prove the non-existence of Vaisman metrics on some solvmanifolds with a
left-invariant complex structure. By this theorem, we show that every
Oeljeklaus-Toma manifold with $(s,1)$ admits no Vaisman metric.

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