Tensor calculus with open-source software: the SageManifolds project
General Relativity and Quantum Cosmology
2015-06-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1412.4765,
title = {Tensor calculus with open-source software: the SageManifolds project},
author = {Eric Gourgoulhon and Michal Bejger and Marco Mancini},
journal= {arXiv preprint arXiv:1412.4765},
year = {2015}
}
Comments
17 pages, 6 figures, many small changes w.r.t. v1; to appear in the Proceedings of "ERE2014: Almost 100 years after Einstein's revolution" (Journal of Physics: Conference Series)