Lie symmetries of the geodesic equations and projective collineations

Details Lie symmetries of the geodesic equations and projective collineations Lie symmetries of the geodesic equations and projective collineations

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009jphcs.189a2042t&link_type=abstract

Journal of Physics: Conference Series, Volume 189, Issue 1, pp. 012042 (2009).

Physics

Scientific paper

We study the Lie symmetries of the geodesic equations in a Riemannian
space and show that they coincide with the projective symmetries of the
Riemannian metric. We apply the result to the spaces of constant
curvature.

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