Finsler surfaces with prescribed geodesics

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.

15 pages

References in corpus (1)

• Metrisability of three-dimensional projective structures

Cited by in corpus (1)

• The multiplier approach to the projective Finsler metrizability problem