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Ricci: A Mathematica Package for Doing Tensor Calculations in Differential Geometry
Author

John M. Lee
Organization: Dept. of Mathematics, GN-50, University of Washington
Old MathSource #

0204-084
Revision date

2000-01-10
Description

Ricci is a Mathematica package for doing symbolic tensor computations that arise in differential geometry. Some of its capabilities include: manipulation of tensor expressions with and without indices; implicit use of the Einstein summation convention; correct manipulation of dummy indices; automatic calculation of covariant derivatives; Riemannian metrics and curvatures; complex bundles and tensors; and more.
Subject

*Mathematics > Calculus and Analysis > Differential Geometry
Keywords

Lie Rules, Lie Symmetry, Ricci Tensor, PureMath, Pure Math, Geometry, , differential geometry, Tensor calculations, tensor manipulation, dummy indices, upper indices, lower indices, tensor symmetries, Riemannian metrics, Riemann curvature, Riemann metrics, vector bundles, complex bundles, complex tensors, torsion
Downloads Download Wolfram CDF Player

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Changes.txt (5.9 KB) - Revision history of the Ricci package
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Example.txt (20.2 KB) - An example of Ricci usage
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README.txt (9.3 KB) - Installation notes and information
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Manual.ps (425.6 KB) - Ricci User's Manual - Postscript
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Ricci.m (297.6 KB) - The source file for the Ricci package
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Ricci.tex (1.7 KB) - TeX macros needed for Ricci's TeXForm output

Files specific to Mathematica 2.2 version:
Download
README.txt (9.8 KB) - Installation notes and information
Download
Changes.doc (5 KB) - Revision history of the Ricci package
Download
Example.doc (19.6 KB) - An example of Ricci usage
Download
Manual.dvi (230.9 KB) - Ricci User's Manual - DVI
Download
Manual.ps (415.8 KB) - Ricci User's Manual - Postscript
Download
Manual.tex (187.2 KB) - Ricci User's Manual - TeX
Download
Ricci.m (277.9 KB) - The source file for the Ricci package
Download
Ricci.tex (1.7 KB) - TeX macros needed for Ricci's TeXForm output