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arXiv:1712.09949 [math.DG]AbstractReferencesReviewsResources

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

Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero, Ivan Yudin

Published 2017-12-28Version 1

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.

Comments: 32 pages
Categories: math.DG, math.AT, math.SG
Subjects: 53C25, 53C55, 53D35, 55P62
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