On Cohomological Decomposability of Almost-K\"ahler Structures
Differential Geometry
2014-10-28 v1
Abstract
We study the J-invariant and J-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold M endowed with an almost-K\"ahler structure (J, \omega, g). In particular, almost-K\"ahler manifolds satisfying a Lefschetz type property, and solvmanifolds endowed with left-invariant almost-complex structures are investigated.
Keywords
Cite
@article{arxiv.1211.2928,
title = {On Cohomological Decomposability of Almost-K\"ahler Structures},
author = {Daniele Angella and Adriano Tomassini and Weiyi Zhang},
journal= {arXiv preprint arXiv:1211.2928},
year = {2014}
}
Comments
Accepted for publication in Proceedings of the American Mathematical Society