Models for quasi-Sasakian and quasi-Vaisman manifolds and classification of their nilmanifolds


Presenting author: Antonio De Nicola


Quasi Sasakian manifolds are a large class of almost contact Riemannian manifolds including Sasakian and co-Kaehler manifolds as extreme cases. We study quasi-Sasakian manifolds and we introduce quasi-Vaisman manifolds as their even dimensional counterpart, generalizing Vaisman manifolds. We show that both compact quasi-Sasakian and quasi-Vaisman manifolds are, in a sense, almost formal, and we provide models for their de Rham algebras. This allows us to classify quasi-Sasakian and quasi-Vaisman nilmanifolds.

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