MathTensor swMATH ID: 9364 Software Authors: Christensen, Steven M. Description: Large scale tensor analysis by computer. The paper contains a description of the software package MathTensor which can be loaded into the Mathematica computer algebra system. The package is useful for manipulating large systems of equations and for detecting symmetries in tensor structures. The author addresses problems emerging from quantum field theory of curved space-times for instance to describe the distance along a geodesic curve between two points on a curved surface. It is a demanding task to convert a large Riemann tensor term into a linear combination of a minimal set of such terms. In quite a few examples the author illustrates how to tackle this problem by applying the package. Homepage: http://www.wolfram.com/products/applications/mathtensor/ Dependencies: Mathematica Keywords: symbolic computation; Riemannian manifold; Riemann tensor; Ricci tensor; quantum field theory; curved space time Related Software: ATENSOR; Mathematica; Cadabra; Invar; Riegeom; Maple; Ricci; xTensor; Canon; GRTensorII; xAct; xPerm; Redten; GAP; EinS; SHEEP; SCHUR; SPEEDUP; SPRNG; Tensorial Cited in: 21 Publications all top 5 Cited by 32 Authors 4 Liu, Jiang 2 Fiedler, Bernd 2 Manssur, L. R. U. 2 Portugal, R. D. 1 Balaž, Antun 1 Bebbington, David 1 Belić, Aleksandar 1 Bogojević, Aleksandar 1 Brewin, Leo C. 1 Burby, Joshua W. 1 Cao, YuanHao 1 Christensen, Steven M. 1 Edgar, S. Brian 1 Göbel, Manfred 1 Gusev, Yuri V. 1 Hehl, Friedrich W. 1 Hinder, Ian 1 Husa, Sascha 1 Korolkova, Anna V. 1 Kulyabov, Dmitry S. 1 Lechner, Christiane 1 Li, Hongbo 1 Macías, Alfredo 1 Ni, Feng 1 Peeters, Kasper 1 Senovilla, José M. M. 1 Sevast’yanov, Leonid Antonovich 1 Socorro, José 1 Squire, John M. 1 Stojiljković, Danica 1 Vidanović, Ivana 1 Vudragović, Dušan all top 5 Cited in 9 Serials 10 Computer Physics Communications 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Symbolic Computation 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Programming and Computer Software 1 Science in China. Series A 1 Journal of Systems Science and Complexity 1 Communications in Computational Physics all top 5 Cited in 14 Fields 9 Computer science (68-XX) 7 Differential geometry (53-XX) 5 Quantum theory (81-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year