Finsler surfaces with prescribed geodesics

Details Finsler surfaces with prescribed geodesics Finsler surfaces with prescribed geodesics

2010-02-01

arxiv.org/abs/1002.0243v1

Mathematics

Differential Geometry

15 pages

Scientific paper

We construct all Finsler metrics on the two-sphere for which geodesics are
circles and show that any (reversible) path geometry on a two-dimensional
manifold is locally the system of geodesics of a Finsler metric.

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