General Relativity and Gravitation

, Volume 26, Issue 3, pp 329–332 | Cite as

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

  • S. Brian Edgar
Letter to the Editor


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.


High Dimension Differential Geometry Simple Manner Riemann Tensor Lanczos Potential 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • S. Brian Edgar
    • 1
  1. 1.Department of MathematicsUniversity of LinköpingLinköpingSweden

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