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International Journal of Theoretical Physics

, Volume 18, Issue 4, pp 279–289 | Cite as

Riemannian curvature and the classification of the Riemann and Ricci tensors in space-time

  • W. J. Cormack
  • G. S. Hall
Article

Abstract

Some theorems proved by Thorpe concerning the connection between the critical point structure of the Riemannian (sectional) curvature function and the Petrov classification are extended. A similar function is defined whose critical point structure is connected with the algebraic classification of the Ricci tensor.

Keywords

Field Theory Elementary Particle Quantum Field Theory Similar Function Ricci Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • W. J. Cormack
    • 1
  • G. S. Hall
    • 1
  1. 1.Department of MathematicsUniversity of AberdeenAberdeenScotland

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