3 papers
math.DG2020
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…
math.DG2019
On Computational Poisson Geometry I: Symbolic Foundations
M. A. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, P. Suárez-Serrato
We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module implements our algorithms, and accompanies this…
math.SG2018
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…