Tensor calculus with open-source software: the SageManifolds project

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Gourgoulhon, Eric^1 ; Bejger, Michal^2 ; Mancini, Marco^1

Laboratoire Univers et Théories, UMR 8102 du CNRS, Université Paris Diderot, Meudon

92190, France^1

Centrum Astronomiczne Im. M. Kopernika, ul. Bartycka 18, Warsaw

00-716, Poland^2

关键词: Differential geometry;    Mathematics software;    Open sources;    Python programming language;    Tensor calculus;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012002/pdf
DOI  :  10.1088/1742-6596/600/1/012002

来源: IOP

【 摘 要 】

The SageManifolds project aims at extending the mathematics software system Sage towards differential geometry and tensor calculus. Like Sage, SageManifolds is free, open- source and is based on the Python programming language. We discuss here some details of the implementation, which relies on Sage's parent/element framework, and present a concrete example of use.