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math.DG2020★ 4 cited
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★ 4 cited
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…