Hereditary Properties of Co-Kähler Manifolds

Authors

Giovanni Bazzoni, Universität Bielefeld
Gregory Lupton, Cleveland State UniversityFollow
John F. Oprea, Cleveland State UniversityFollow

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)) ≥2^r, for any r-torus T^r which acts almost freely on M.

Repository Citation

Bazzoni, Giovanni; Lupton, Gregory; and Oprea, John F., "Hereditary Properties of Co-Kähler Manifolds" (2017). Mathematics and Statistics Faculty Publications. 316.
https://engagedscholarship.csuohio.edu/scimath_facpub/316

DOI

10.1016/j.difgeo.2016.11.002

Version

Postprint

Creative Commons License

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

Volume

50