Cohomologically symplectic solvmanifolds are symplectic

Abstract

We consider aspherical manifolds with torsion-free virtually polycyclic fundamental groups, constructed by Baues. We prove that if those manifolds are cohomologically symplectic then they are symplectic. As a corollary we show that cohomologically symplectic solvmanifolds are symplectic.

5 pages

Cited by in corpus (3)

• Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
• Solvable models for Kodaira surfaces
• Coeffective cohomology of symplectic aspherical manifolds