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Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions

  • Letter to the Editor
  • Published: March 1994
  • Volume 26, pages 329–332 (1994)
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Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions
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  • S. Brian Edgar1 
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  • 18 Citations

  • 3 Altmetric

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Abstract

The existing refutal, in four-dimensional spacetimes, of the conjecture that the Lanczos tensor can be used as a potential for the Riemann tensor, is derived in a much simpler manner which is valid for dimension n ≥ 4 and any signature.

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References

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  4. Roberts, M. D. (1988).Mod. Phys. Lett A 4, 2739.

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Authors and Affiliations

  1. Department of Mathematics, University of Linköping, S-581 83, Linköping, Sweden

    S. Brian Edgar

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  1. S. Brian Edgar
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Cite this article

Edgar, S.B. Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions. Gen Relat Gravit 26, 329–332 (1994). https://doi.org/10.1007/BF02108015

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  • Received: 10 November 1993

  • Issue date: March 1994

  • DOI: https://doi.org/10.1007/BF02108015

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Keywords

  • High Dimension
  • Differential Geometry
  • Simple Manner
  • Riemann Tensor
  • Lanczos Potential

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