A splitting theorem for compact Vaisman manifolds

Abstract

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

9 pages. Revised version. Comments are welcome!

References in corpus (2)

• On the structure of co-Kähler manifolds
• Cohomologies of Sasakian groups and Sasakian solvmanifolds