Symbolic Tensor Calculus on Manifolds: a SageMath Implementation
by Eric Gourgoulhon, Marco Mancini
Publisher: arXiv.org 2018
Number of pages: 72
These lecture notes present a method for symbolic tensor calculus that (i) runs on fully specified smooth manifolds (described by an atlas), (ii) is not limited to a single coordinate chart or vector frame, (iii) runs even on non-parallelizable manifolds and (iv) is independent of the symbolic engine employed to perform calculus at the level of coordinate expressions.
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