Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds. (arXiv:1712.09949v1 [math.DG])

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. 查看全文>>