X iv : g r - qc / 0 40 60 82 v 1 2 1 Ju n 20 04 Holonomy and projective symmetry in space - times ∗
نویسندگان
چکیده
It is shown using a space-time curvature classification and decomposition that for certain holonomy types of a space-time, proper projec-tive vector fields cannot exist. Existence is confirmed, by example, for the remaining holonomy types. In all except the most general holon-omy type, a local uniqueness theorem for proper projective symmetry is established.
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تاریخ انتشار 2008