A splitting theorem for compact Vaisman manifolds

2015/12/01 by Giovanni Bazzoni, Juan Carlos Marrero, Bazzoni, Giovanni +3
Mathematics · #53C25 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C25 #msc:53C55

paper · pdf · doi:10.48550/arxiv.1512.00491

9 pages. Revised version. Comments are welcome!

arxiv created 2016/03/21 · arxiv updated 2016/03/23

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.

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