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Invariance under conformal coordinate and point transformations

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  • Beckers, J.
  • Sinzinkayo, S.

Abstract

Coordinate and point transformations are studied in the context of conformal symmetry. When invariance requirements on arbitrary rank tensors are involved in both contexts, the similitudes and differences in transformation laws and invariance conditions are analysed in connection with those on tensor densities of weight W. Physically interesting tensors like the metric tensor, the electromagnetic field and the energy-momentum tensor are specifically examined. Some remarks on scalar fields and densities are added.

Suggested Citation

  • Beckers, J. & Sinzinkayo, S., 1984. "Invariance under conformal coordinate and point transformations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(3), pages 371-383.
    • Handle: RePEc:eee:phsmap:v:126:y:1984:i:3:p:371-383
    DOI: 10.1016/0378-4371(84)90207-3
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    References listed on IDEAS

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    1. Beckers, J. & Jaminon, M., 1978. "Metric tensors invariant under some subgroups of the conformal group on space-time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(1), pages 165-180.
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