On Computational Poisson Geometry I: Symbolic Foundations
Differential Geometry
2022-02-15 v1 Symbolic Computation
Dynamical Systems
Symplectic Geometry
Abstract
We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module implements our algorithms, and accompanies this paper. We include two examples of how our methods can be used, one for gauge transformations of Poisson bivectors in dimension 3, and a second one that determines parametric Poisson bivector fields in dimension 4.
Keywords
Cite
@article{arxiv.1912.01746,
title = {On Computational Poisson Geometry I: Symbolic Foundations},
author = {M. A. Evangelista-Alvarado and J. C. Ruíz-Pantaleón and P. Suárez-Serrato},
journal= {arXiv preprint arXiv:1912.01746},
year = {2022}
}
Comments
21 pages, 19 Algorithms; Our code repository is found at https://github.com/appliedgeometry/poissongeometry