Geodesic
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: projective structure; holonomy; Lorentz manifolds; geodesic equivalence. 
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}
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Graham S. Hall; David P. Lonie. Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a65/

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