Tensor calculus with open-source software: The SageManifolds project

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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.

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Gourgoulhon, E., Bejger, M., & Mancini, M. (2015). Tensor calculus with open-source software: The SageManifolds project. In Journal of Physics: Conference Series (Vol. 600). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/600/1/012002

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