132 citations · 250 across the 15 of their papers we have counts for
16 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…
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…
Interpreting the outcomes of research assessments: a geometrical approach
Beniamino Cappelletti-Montano, Silvia Columbu, Stefano Montaldo +1
Research evaluations and comparison of the assessments of academic institutions (scientific areas, departments, universities etc.) are among the major issues in recent years in hig…
Nearly Sasakian manifolds revisited
Beniamino Cappelletti-Montano, Antonio De Nicola, Giulia Dileo +1
We provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly…
Sasakian immersions into the sphere
Beniamino Cappelletti-Montano, Andrea Loi
The aim of this paper is to study Sasakian immersions of compact Sasakian manifolds into the odd-dimensional sphere equipped with the standard Sasakian structure. We obtain a compl…
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…
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…
Nearly Sasakian geometry and -structures
Beniamino Cappelletti-Montano, Giulia Dileo
We carry on a systematic study of nearly Sasakian manifolds. We prove that any nearly Sasakian manifold admits two types of integrable distributions with totally geodesic leaves wh…
Cosymplectic p-spheres
Beniamino Cappelletti-Montano, Antonio De Nicola, Ivan Yudin
We introduce cosymplectic circles and cosymplectic spheres, which are the analogues in the cosymplectic setting of contact circles and contact spheres. We provide a complete classi…
Sasakian nilmanifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +1
We prove that a compact nilmanifold admits a Sasakian structure if and only if it is a compact quotient of the generalized Heisenberg group of odd dimension by a co-compact discret…
Examples of compact K-contact manifolds with no Sasakian metric
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +1
Using the Hard Lefschetz Theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions five and seven, res…
Hard Lefschetz Theorem for Sasakian manifolds
Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin
We prove that on a compact Sasakian manifold of dimension , for any the wedge product with defines an isomorphism between the spa…
A survey on cosymplectic geometry
Beniamino Cappelletti-Montano, Antonio De Nicola, Ivan Yudin
We give an up-to-date overview of geometric and topological properties of cosymplectic and coKaehler manifolds. We also mention some of their applications to time-dependent mechani…
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures
Beniamino Cappelletti Montano, Alfonso Carriazo, Verónica Martín-Molina
We prove that any non-Sasakian contact metric (κ,μ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor…