Vaisman metrics on solvmanifolds and d_θ-cohomology

2011/04/18 by Hisashi Kasuya, Kasuya, Hisashi · 1 citation
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.CV #math.DG

paper · pdf · doi:10.48550/arxiv.1104.3451

This paper has been withdrawn by the author

openalex publication_date 2011/04/18 · arxiv created 2012/10/02 · arxiv updated 2012/10/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds

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