132 citations · 290 across the 24 of their papers we have counts for
25 papers
Quasi-contact metric structures from Sasaki-Einstein metrics
Beniamino Cappelletti-Montano, Antonio De Nicola
We construct the first examples of quasi-contact metric structures that are not contact metric in every odd dimension greater than or equal to . In dimension , we construct a…
On Homogeneous Kähler Manifolds
Antonio De Nicola, Fabrizio Pugliese, Luca Vitagliano
The cone over a Sasakian manifold is equipped with a canonical Kähler structure with specific homogeneity properties with respect to the …
Darboux-Lie derivatives
Antonio De Nicola, Ivan Yudin
We introduce the Darboux-Lie derivative for fiber-bundle maps from natural bundles to associated fiber bundles and study its properties.
Nilpotent aspherical Sasakian manifolds
Antonio De Nicola, Ivan Yudin
We show that every compact aspherical Sasakian manifold with nilpotent fundamental group is diffeomorphic to a Heisenberg nilmanifold.
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…