On Computational Poisson Geometry I: Symbolic Foundations
arXiv:1912.01746 · doi:10.3934/jgm.2021018
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.
21 pages, 19 Algorithms; Our code repository is found at https://github.com/appliedgeometry/poissongeometry