Ricci: A Mathematica package for doing tensor calculations in differential geometry
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http://www.math.washington.edu/~lee/Ricci/  


John M. Lee, Dept. of Mathematics, Univ. of Washington  
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 userdefined 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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