Mixed Hodge structures and Sullivan's minimal models of Sasakian manifolds

Abstract

We show that the Malcev Lie algebra of the fundamental group of a compact $2n+1$-dimensional Sasakian manifold with $n\ge 2$ admits a quadratic presentation by using Morgan's bigradings of minimal models of mixed-Hodge diagrams. By using bigradings of minimal models, we also simplify the proof of the result of Cappelletti-Montano, De Nicola, Marrero and Yudin on Sasakian nilmanifolds.

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References in corpus (1)

• On formality of Sasakian manifolds

Cited by in corpus (1)

• Extended simplicial rational Nomizu's Theorem