16 citations · 52 across the 12 of their papers we have counts for
12 papers
Loday algebroids cohomology, nonlinear connections and characteristic classes
Raquel Caseiro, Fani Petalidou
The purpose of this paper is to contribute to the further study of Loday algebroids by introducing, first, the concept of action Loday algebroid and clarifying the notion of a (co)…
Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
Panagiotis Batakidis, Fani Petalidou
We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B,…
Poisson brackets with prescribed family of functions in involution
Fani Petalidou
It is well known that functions in involution with respect to Poisson brackets have a privileged role in the theory of completely integrable systems. Finding functionally independe…
On the symplectic realization of Poisson-Nijenhuis manifolds
Fani Petalidou
We consider the problem of the symplectic realization of a Poisson-Nijenhuis manifold. By applying a new technique developed by M. Crainic and I. Marcut for the study of the above…
Poisson brackets with prescribed Casimirs
Pantelis A. Damianou, Fani Petalidou
We consider the problem of constructing Poisson brackets on smooth manifolds with prescribed Casimir functions. If is of even dimension, we achieve our construction by cons…
On twisted contact groupoids and on integration of twisted Jacobi manifolds
Fani Petalidou
We introduce the concept of twisted contact groupoids, as an extension either of contact groupoids or of twisted symplectic ones, and we discuss the integration of twisted Jacobi m…