English

A splitting theorem for compact Vaisman manifolds

Differential Geometry 2016-03-23 v2

Abstract

We extend to metric compact mapping tori a splitting result for coK\"ahler manifolds. In particular, we prove that a compact Vaisman manifold is finitely covered by the product of a Sasakian manifold and a circle.

Keywords

Cite

@article{arxiv.1512.00491,
  title  = {A splitting theorem for compact Vaisman manifolds},
  author = {Giovanni Bazzoni and Juan Carlos Marrero and John Oprea},
  journal= {arXiv preprint arXiv:1512.00491},
  year   = {2016}
}

Comments

9 pages. Revised version. Comments are welcome!

R2 v1 2026-06-22T11:59:06.057Z