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arXiv · 1104.3451

Vaisman metrics on solvmanifolds and $d_{\theta}$-cohomology

Hisashi Kasuya
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Abstract

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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Hisashi Kasuya. 2011-04-18. Vaisman metrics on solvmanifolds and $d_{\theta}$-cohomology. https://arxiv.org/abs/1104.3451

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