paper

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

arXiv:1712.09949 · doi:10.1007/s11856-021-2088-2

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.

33 pages, to appear in Israel Journal of Mathematics