A splitting theorem for compact Vaisman manifolds

TL;DR

This paper proves that compact Vaisman manifolds can be finitely covered by a product of a Sasakian manifold and a circle, extending splitting results to metric compact mapping tori.

Contribution

It introduces a splitting theorem for compact Vaisman manifolds, generalizing known results for coKähler manifolds to the Vaisman setting.

Findings

Vaisman manifolds are finitely covered by Sasakian times circle

Extension of splitting results to metric compact mapping tori

New characterization of compact Vaisman manifolds

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.