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arXiv · 1712.09949

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

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

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Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero, Ivan Yudin. 2017-12-28. Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds. https://doi.org/10.1007/s11856-021-2088-2

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