36 citations · 458 across the 47 of their papers we have counts for
52 papers
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 …
The Symplectic-to-Contact Dictionary
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
Contact Geometry is an odd dimensional analogue of Symplectic Geometry. This vague idea can actually be formalized in a rather precise way by means of a Symplectic-to-Contact Dicti…
Shifted Contact Structures on Differentiable Stacks
Antonio Maglio, Alfonso G. Tortorella, Luca Vitagliano
We define \emph{-shifted} and \emph{-shifted contact structures} on differentiable stacks, thus laying the foundations of \emph{shifted Contact Geometry}. As a side result w…
Vinogradov's Cohomological Geometry of Partial Differential Equations
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
Secondary Calculus is a formal replacement for differential calculus on the space of solutions of a system of possibly non-linear partial differential equations and it is essential…
Integrating Nijenhuis Structures
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
A Nijenhuis operator on a manifold is a tensor whose Nijenhuis-torsion vanishes. A Nijenhuis operator on determines a Lie algebroid struct…
Fiber-Wise Linear Differential Operators
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
We define a new notion of fiber-wise linear differential operator on the total space of a vector bundle . Our main result is that fiber-wise linear differential operators on …