A finsler perturbation of the Poincaré metric

Details A finsler perturbation of the Poincaré metric A finsler perturbation of the Poincaré metric

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25..179r&link_type=abstract

General Relativity and Gravitation, Volume 25, Issue 2, pp.179-187

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One method of gaining some insight into Finsler geomety is that of studying small Finsler perturbations of Riemannian metrics. We consider here the the standard two-dimensional upper half plane Poincaré metric, for which the geodesics are semi-circles and vertical lines. The effect of a simple Finsler perturbation on these geodesics is given by an explicit computation of the perturbed geodesics.

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