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• W1963989160 abstract "This paper studies the situation when two 4-dimensional Lorentz manifolds (that is, space-times) admit the same (unparametrised) geodesics, that is, when they are projectively related. A review of some known results is given and then the problem is considered further by treating each holonomy type in turn for the space-time connection. It transpires that all holonomy possibilities can be dealt with completely except the most general one and that the consequences of two space-times being projectively related leads, in many cases, to their associated Levi-Civita connections being identical." @default.
• W1963989160 created "2016-06-24" @default.
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• W1963989160 date "2011-02-01" @default.
• W1963989160 modified "2023-09-29" @default.
• W1963989160 title "Projective structure and holonomy in four-dimensional Lorentz manifolds" @default.
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• W1963989160 doi "https://doi.org/10.1016/j.geomphys.2010.10.007" @default.
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