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Ricci: A Mathematica package for doing tensor calculations in differential geometry

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Visit this site: http://www.math.washington.edu/~lee/Ricci/
Author:John M. Lee, Dept. of Mathematics, Univ. of Washington
Description: Ricci has the following features and capabilities: manipulation of tensor expressions with and without indices; implicit use of the Einstein summation convention; correct manipulation of dummy indices; display of results in mathematical notation, with upper and lower indices; automatic calculation of covariant derivatives; automatic application of tensor symmetries; Riemannian metrics and curvatures; differential forms; any number of vector bundles with user-defined characteristics; names of indices indicate which bundles they refer to; complex bundles and tensors; conjugation indicated by barred indices; connections with and without torsion. The program is available onsite, along with user's manual, a list of all significant changes, an example of output, source files, and the anonymous ftp site from which you may also download it.
Levels: College, Research
Languages: English
Resource Types: Documents/Sketches/Galleries, Mathematica
Math Topics: Differential Geometry

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