2004•Classical and Quantum GravityOpen access
Holonomy and projective symmetry in spacetimes
G. S. Hall, D P Lonie
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Abstract
It is shown using a space-time curvature classification and decomposition that for certain holonomy types of a space-time, proper projective vector fields cannot exist. Existence is confirmed, by example, for the remaining holonomy types. In all except the most general holonomy type, a local uniqueness theorem for proper projective symmetry is established. 1
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