Holonomy and Projective Equivalence in 4-dimensional Lorentz Manifolds

Graham S Hall, David P Lonie

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the holonomy type of the Lorentz manifold in question is given. This necessitates a review of the possible holonomy groups for such manifolds which, in turn, requires a certain convenient classification of the associated curvature tensors. These reviews are provided.
Original languageEnglish
Article number066
Number of pages23
JournalSymmetry, Integrability and Geometry: Methods and Applications
Publication statusPublished - 2009


  • projective structure
  • holonomy
  • Lorentz manifolds
  • geodesic equivalence


Dive into the research topics of 'Holonomy and Projective Equivalence in 4-dimensional Lorentz Manifolds'. Together they form a unique fingerprint.

Cite this