On Computational Poisson Geometry I: Symbolic Foundations

Abstract

We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module $\text{PoissonGeometry}$ 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.

arXiv comment21 pages, 19 Algorithms; Our code repository is found at https://github.com/appliedgeometry/poissongeometry

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Cited by in corpus (1)

• On Computational Poisson Geometry II: Numerical Methods