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arXiv 2010-02-01 1 views

Finsler surfaces with prescribed geodesics

Álvarez-Paiva, Juan-Carlos · Berck, Gautier

Original · EN

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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