Tensor calculus with opensource software: the SageManifolds project
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.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 April 2015
 DOI:
 10.1088/17426596/600/1/012002
 arXiv:
 arXiv:1412.4765
 Bibcode:
 2015JPhCS.600a2002G
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 17 pages, 6 figures, many small changes w.r.t. v1