22 citations · 27 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Generalized Goldberg Formula
Antonio De Nicola, Ivan Yudin
In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed -form acting on the de Rham algebra o…
Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor
Antonio De Nicola, Juan Carlos Marrero, Edith Padron
We show how to reduce, under certain regularities conditions, a Poisson-Nijenhuis Lie algebroid to a symplectic-Nijenhuis Lie algebroid with nondegenerate Nijenhuis tensor. We gene…