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Letters in Mathematical Physics

, Volume 10, Issue 2–3, pp 179–182 | Cite as

Integrable optical geometry

  • Ivor Robinson
  • Andrzej Trautman
Article

Abstract

It is shown that a Lorentzian 4-manifold admitting a congruence of optical (null) geodesics without shear and twist defines an optical geometry which is integrable (locally flat) in the sense of the theory of G-structures. The existence of a symmetric linear connection compatible with the optical geometry is another condition equivalent to the integrability of the optical G-structure.

Keywords

Statistical Physic Group Theory Linear Connection Optical Geometry Symmetric Linear Connection 
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

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • Ivor Robinson
    • 1
  • Andrzej Trautman
    • 1
  1. 1.Scuola Internazionale Superiore di Studi AvanzatiTriesteItaly

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