Lie symmetries of geodesic equations and projective collineations |
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| Authors: | Michael Tsamparlis Andronikos Paliathanasis |
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| Institution: | 1. Department of Physics, Section of Astronomy-Astrophysics-Mechanics, University of Athens, Panepistemiopolis, Athens, 157 83, Greece
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| Abstract: | We prove a theorem which relates the Lie symmetries of the geodesic equations in a Riemannian space with the collineations of the metric. We apply the results to Einstein spaces and spaces of constant curvature. Finally with examples we show the use of the results. |
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