Simplifying Tensor Polynomials with Indices
广义相对论与量子宇宙学
2007-05-23 v2 数学物理
math.MP
计算物理
摘要
We are presenting an algorithm capable of simplifying tensor polynomials with indices when the building tensors have index symmetry properties. These properties include simple symmetry, cyclicity and those due to the presence of partial and covariant derivatives. We are also including some examples using the Riemann tensor as a paradigm. The algorithm is part of a Mathematica package called Tools of Tensor Calculus (TTC) [web address: http://baldufa.upc.es/ttc]
引用
@article{arxiv.gr-qc/9809022,
title = {Simplifying Tensor Polynomials with Indices},
author = {A. Balfagon and X. Jaen},
journal= {arXiv preprint arXiv:gr-qc/9809022},
year = {2007}
}
备注
Latex, 21 pages. Submitted to Journal of Symbolic Computation; e-mail: [email protected], [email protected]