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arXiv · 1002.0243

Finsler surfaces with prescribed geodesics

Juan-Carlos Álvarez-Paiva·Gautier Berck
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Abstract

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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Juan-Carlos Álvarez-Paiva, Gautier Berck. 2010-02-01. Finsler surfaces with prescribed geodesics. https://arxiv.org/abs/1002.0243

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