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General Relativity and Gravitation

, Volume 16, Issue 9, pp 805–816 | Cite as

Is the Riemann tensor derivable from a tensor potential?

  • Enrico Massa
  • Enrico Pagani
Research Articles

Abstract

In recent years, following an earlier result of C. Lanczos concerning the representation of the Weyl tensor in arbitrary space-times, it has been conjectured that the Riemann tensor itself admits a linear representation in terms of the covariant derivatives of a suitable “potential” tensor of rank 3. This conjecture is shown to be false, at least for a class of spacetime geometries including several physically significant ones.

Keywords

Early Result Differential Geometry Covariant Derivative Linear Representation Weyl 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 1984

Authors and Affiliations

  • Enrico Massa
    • 1
  • Enrico Pagani
    • 1
  1. 1.Istituto Matematico dell'Università di GenovaGenovaItaly

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