Looking for packages for tensor calculation in Mathematica

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SUMMARY

The discussion centers on finding packages for tensor calculations in Mathematica, specifically for operations like contraction and index manipulation. The user attempted to use the Ricci.m package but encountered compatibility issues with Mathematica version 12. They inquired about alternative packages, mentioning Tensorial as a potential option. The need for updated and compatible tools for tensor calculations in Mathematica is emphasized.

PREREQUISITES
  • Familiarity with tensor calculus concepts such as contraction and index manipulation.
  • Basic understanding of Mathematica programming environment.
  • Knowledge of package installation and usage in Mathematica.
  • Awareness of version compatibility issues in software tools.
NEXT STEPS
  • Research the Tensorial package for tensor calculations in Mathematica.
  • Explore alternative packages for tensor operations compatible with Mathematica v12.
  • Investigate updates or forks of the Ricci.m package for improved functionality.
  • Learn about Mathematica's built-in tensor functions and their applications.
USEFUL FOR

Mathematicians, physicists, and researchers involved in tensor calculations, as well as Mathematica users seeking efficient tools for advanced mathematical computations.

Haorong Wu
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TL;DR
Need packages for tensor calculation in differential geometry for mathematica
Hello. I am doing tensor calculation with indices, such as contraction, lowering or raising indices, tensor production, etc.

I have tried the Ricci.m from https://sites.math.washington.edu/~lee/Ricci/

However, maybe because the package has not been upgraded for some time, I could not get the proper output in Mathematica v12.

Do you know other package? Thanks!
 
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