Vaisman metrics on solvmanifolds and $d_{\theta}$-cohomology
Complex Variables
2012-10-03 v2 Differential Geometry
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 admits no Vaisman metric.
Keywords
Cite
@article{arxiv.1104.3451,
title = {Vaisman metrics on solvmanifolds and $d_{\theta}$-cohomology},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:1104.3451},
year = {2012}
}
Comments
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