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Cohomologically symplectic solvmanifolds are symplectic
Hisashi Kasuya
Source: J. Symplectic Geom. Volume 9, Number 4
(2011), 429-434.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsg/1330441078
Zentralblatt MATH identifier: 06049654
Mathematical Reviews number (MathSciNet): MR2900785
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Journal of Symplectic Geometry
