Tensor calculus with open-source software: the SageManifolds project
arXiv:1412.4765 · doi:10.1088/1742-6596/600/1/012002
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.
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)