Finsler surfaces with prescribed geodesics

Name: Work Video:
Duration: 3 min 30 s
Description: 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.
Juan-Carlos Álvarez-Paiva; Gautier Berck
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