Hereditary properties of co-Kähler manifolds

Abstract

We show how certain topological properties of co-K{ä}hler 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: $\dim (H^{\ast }(M;\mathbb{Q}))\ge 2^r$, for any $r$-torus $T^r$ which acts almost freely on $M$.

17 pages. Section 4 of the previous version taken out, now contained in arXiv:1609.07880

References in corpus (1)

• Sasakian nilmanifolds

Cited by in corpus (1)

• Infinitesimal finiteness obstructions