Invariants of the Riemann tensor: A classical approach

Details Invariants of the Riemann tensor: A classical approach Invariants of the Riemann tensor: A classical approach

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38.1083s&link_type=abstract

General Relativity and Gravitation, Volume 38, Issue 6, pp.1083-1094

Physics

General Relativity, Riemann Tensor, Polynomial Invariants

Scientific paper

This paper describes the start of an investigation into the application of classical invariant theory to scalar polynomial invariants of the Riemann tensor. In particular, the classical methods of enumerating invariants are discussed with the aim, not achieved in this paper, of verifying Sneddon's result, obtained by explicit calculation of the invariants that the dimension of a Hilbert basis is 38.

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