Normalization in Riemann tensor polynomial ring
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Publication:1621171
DOI10.1007/s11424-017-6325-zzbMath1402.13024OpenAlexW2771672395MaRDI QIDQ1621171
Publication date: 8 November 2018
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-017-6325-z
Riemann tensorcanonical formmonoid ringEinstein summation convention\(n\mathrm D\) symbolic computation
Related Items (2)
An extension of Gröbner basis theory to indexed polynomials without eliminations ⋮ Normalization of indexed differentials by extending Gröbner basis theory
Uses Software
Cites Work
- The Canon package: a fast kernel for tensor manipulators
- The Invar tensor package
- The \texttt{Invar} tensor package: differential invariants of Riemann
- Simplification and normalization of indexed differentials involving coordinate transformation
- ATENSOR -- REDUCE program for tensor simplification
- The Riegeom package: Abstract tensor calculation
- An algorithm to simplify tensor expressions
- Review of some classical gravitational superenergy tensors using computational techniques
- Normal forms for tensor polynomials. I. The Riemann tensor
- Algorithmic simplification of tensor expressions
- A complete classification of canonical forms of a class of Riemann tensor indexed expressions and its applications in differential geometry
- GROUP-THEORETIC APPROACH FOR SYMBOLIC TENSOR MANIPULATION
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