A Python Numeric module for (local) calculus on Poisson manifolds
Project description
Numerical Poisson Geometry
A Python module for (local) Poisson-Nijenhuis calculus on Poisson manifolds, with the following functions:
num_bivector_field | num_bivector_to_matrix | num_poisson_bracket |
---|---|---|
num_hamiltonian_vf | num_sharp_morphism | num_coboundary_operator |
num_modular_vf | num_curl_operator | num_one_forms_bracket |
num_gauge_transformation | num_linear_normal_form_R3 | num_flaschka_ratiu_bivector |
Motivation
This project is the numeric implementation of the following work:
- Miguel Evangelista-Alvarado, José C. Ruíz Pantaleón & P. Suárez-Serrato,
On Computational Poisson Geometry I: Symbolic Foundations,
arXiv:1912.01746 [math.DG] (2019)
🚀
Bugs & Contributions
Our issue tracker is at https://github.com/appliedgeometry/poissongeometry/issues. Please report any bugs that you find. Or, even better, if you are interested in our project you can fork the repository on GitHub and create a pull request.
Licence 📄
MIT licence
Authors ✒️
This work is developed and maintained by:
- José C. Ruíz Pantaleón - @jcrpanta
- Pablo Suárez Serrato - @psuarezserrato
- Miguel Evangelista-Alvarado - @mevangelista-alvarado
Thanks for citing our work if you use it! 🤓
Acknowledgments
This work was partially supported by the grants CONACyT and "Aprendizaje Geométrico Profundo" UNAM-DGAPA-PAPIIT-IN104819.
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