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On determining the isometry group of a riemannian space

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Abstract

We present an extension of the recently discussed algorithm [1, 2] for deciding the equivalence problem for Riemannian metrics. The extension determines the structure constants of the isometry group and enables us to obtain some information about its orbits, including the form of the Killing vectors in canonical coordinates.

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Author notes

  1. M. A. H. Maccallum

    Present address: Department of Applied Mathematics, Queen Mary College, Mile End Road, E.1 4NS, London, Great Britain

Authors and Affiliations

  1. Institute of Theoretical Physics, University of Stockholm, VanadisvÄgen 9, S-113 46, Stockholm, Sweden

    A. Karlhede & M. A. H. Maccallum

Authors
  1. A. Karlhede
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  2. M. A. H. Maccallum
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Karlhede, A., Maccallum, M.A.H. On determining the isometry group of a riemannian space. Gen Relat Gravit 14, 673–682 (1982). https://doi.org/10.1007/BF00761458

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  • DOI: https://doi.org/10.1007/BF00761458

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