3 papers
math.DG2021
Integrable LCK manifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Ivan Yudin
We study a natural class of LCK manifolds that we call integrable LCK manifolds: those where the anti-Lee form corresponds to an integrable distribution. As an application we o…
math.DG2017
Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +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-Sasa…
math.DG2016
On nearly Sasakian and nearly cosymplectic manifolds
Antonio De Nicola, Giulia Dileo, Ivan Yudin
We prove that every nearly Sasakian manifold of dimension greater than five is Sasakian. This provides a new criterion for an almost contact metric manifold to be Sasakian. Moreove…