11 citations · 23 across the 5 of their papers we have counts for
5 papers
Poisson Structures on Trivial Extension Algebras
D. García-Beltrán, J. C. Ruíz-Pantaleón, Yu. Vorobiev
We present a class of Poisson structures on trivial extension algebras which generalize some known structures induced by Poisson modules. We show that there exists a one-to-one cor…
Infinitesimal Poisson Algebras and Linearization of Hamiltonian Systems
D. García-Beltrán, J. C. Ruíz-Pantaleón, Yu. Vorobiev
Using the notion of a contravariant derivative, we give some algebraic and geometric characterizations of Poisson algebras associated to the infinitesimal data of Poisson submanifo…
Compatible Poisson Structures on Fibered -Manifolds
R. Flores-Espinoza, J. C. Ruíz-Pantaleón, Yu. Vorobiev
We study a class of Poisson tensors on a fibered manifold which are compatible with the fiber bundle structure by the so-called almost coupling condition. In the case of a -dime…
Invariant Poisson Realizations and the Averaging of Dirac Structures
José A. Vallejo, Yurii Vorobiev
We describe an averaging procedure on a Dirac manifold, with respect to a class of compatible actions of a compact Lie group. Some averaging theorems on the existence of invariant…
Homological Equation for Tensor Field and Periodic Averaging
M. Avendaño Camacho, Yu. Vorobiev
Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula is generalized to the case of multivector fields and diff…