Finsler surfaces with prescribed geodesics
classification
🧮 math.DG
math.MG
keywords
finslergeodesicscirclesconstructgeometrylocallymanifoldmetric
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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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