On Computational Poisson Geometry I: Symbolic Foundations
Abstract
We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module 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.
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