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General Relativity and Gravitation

, Volume 38, Issue 6, pp 1083–1094 | Cite as

Invariants of the Riemann tensor: A classical approach

  • S. T. C. Siklos
Research Article
  • 78 Downloads

Abstract

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.

Keywords

General Relativity Riemann tensor Polynomial invariants 

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Copyright information

© Springer Science and Business Media Inc., New York 2006

Authors and Affiliations

  1. 1.Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical ScienceUniversity of CambridgeCambridgeUK

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