132 citations · 282 across the 36 of their papers we have counts for
4 papers · 2 filters
Examples of 3-quasi-Sasakian manifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Ivan Yudin
We provide a general method to construct examples of quasi-Sasakian 3-structures on a (4n+3)-dimensional manifold. Moreover, among this class, we give the first explicit example of…
Hard Lefschetz Theorem for Vaisman manifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +1
We establish a Hard Lefschetz Theorem for the de Rham cohomology of compact Vaisman manifolds. A similar result is proved for the basic cohomology with respect to the Lee vector fi…
A non-Sasakian Lefschetz K-contact manifold of Tievsky type
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +1
We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of -contact manifolds which satisfy the Hard Lefschetz Theorem and…
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…