Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds

2012/04/30 by Hisashi Kasuya
Mathematics · #math.DG #math.CV

paper · pdf · doi:10.1112/blms/bds057

12 page. arXiv admin note: substantial text overlap with arXiv:1104.3451. to appear in Bull. Lond. math. soc

arxiv created 2012/05/09 · arxiv updated 2014/02/26

Abstract

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.

Citations

• Vaisman metrics on solvmanifolds and d_θ-cohomology