Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds

Abstract

We provide models that are as close as possible to being formal for a large class of compact manifolds that admit a transversely Kaehler structure, including Vaisman and quasi-Sasakian manifolds. As an application we are able to classify the corresponding nilmanifolds.

arXiv comment33 pages, to appear in Israel Journal of Mathematics

References in corpus (6)

• On formality of Sasakian manifolds
• Locally conformal Hermitian metrics on complex non-Kähler manifolds
• Sasakian nilmanifolds
• On locally conformal symplectic manifolds of the first kind
• Vaisman nilmanifolds
• Generalized Goldberg Formula

Cited by in corpus (1)

• Transverse Kähler structures on central foliations of complex manifolds