Document Type

Article

Publication Date

2-2017

Publication Title

Differential Geometry and Its Applications

Abstract

We show how certain topological properties of co-Kähler manifolds derive from those of the Kähler manifolds which construct them. We go beyond Betti number results and describe the cohomology algebra structure of co-Kähler manifolds. As a consequence, we prove that co-Kähler manifolds satisfy the Toral Rank Conjecture: dim(H(M; Q)) ≥2r, for any r-torus Tr which acts almost freely on M.

DOI

10.1016/j.difgeo.2016.11.002

Version

Postprint

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Volume

50

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