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arXiv · 1912.01746

On Computational Poisson Geometry I: Symbolic Foundations

M. A. Evangelista-Alvarado·J. C. Ruíz-Pantaleón·P. Suárez-Serrato
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Abstract

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

M. A. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, P. Suárez-Serrato. 2019-12-04. On Computational Poisson Geometry I: Symbolic Foundations. https://doi.org/10.3934/jgm.2021018

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