Ricci is a Mathematica package for doing symbolic tensor computations that arise in differential geometry. It 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

*Disclaimer: *Be warned that I make no claims that this is a professional-quality
software package. I have tried to make it as general and error-free as
possible, and I think it is reasonably robust. However, I did most of the
work on this package in my "spare time", with only very limited programming
assistance, so I haven't had time to check everything. I am no longer actively maintaining the program, but I will try to fix
any bugs that you encounter.

If you use this package at all, I would appreciate it if you would send
me a message at johnmlee@uw.edu
describing
your experience, and telling me whether you found the package useful or
not. I'd especially like to hear about any bugs, anomalous behavior, things
that look like they should simplify but don't, suggestions for improvement,
things that seem to take longer than they should, etc. If I get e-mail
from you, I'll put you on my mailing list to be informed whenever I release
a new production version.

- Manual.pdf: User's Manual (380K - about 90 pages when printed)
- Ricci.m: the source file for the latest version of Ricci (291K)
- Example.txt: an example of Ricci usage (ASCII, 20K).
- Changes.txt: A list of all significant changes to Ricci since the first beta release (ASCII, 6K).
- Ricci.tex: TeX macros needed for Ricci's TeXForm output (ASCII, 2K)

Once you have downloaded the files, put the source file Ricci.m in the directory
in which you place Mathematica input files. If you plan to use ` TeXForm`
output from Ricci, put Ricci.tex in the directory in which TeX looks for its
input files.

To use Ricci, put the ` Ricci.m `source file into a
directory of your own that is accessible to Mathematica. (You may need to change
the value of Mathematica's

**<<Ricci.m**

Once you've loaded Ricci into Mathematica, you can type ` ?name
`for information about any Ricci function or command.

- Fixed protection errors caused by new system symbols in Mathematica 9 & 10.
- Fixed bug in BasisExpand[Del[w]]
- Fixed display of Del[w]
- Fixed "shadow symbol" problem with new system symbols
- Fixed bug in BasisExpand[tensor^p]

Here's a log of changes in prior versions of Ricci.

John M. Lee

University of Washington

Department of Mathematics

Box 354350

Seattle, WA 98195-4350

USA

Phone: (206) 543-1735

Fax: (206) 543-0397

E-mail: johnmlee@uw.edu