Browsing by Subject "Finsler geometry"

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Geodesic behavior for Finsler metrics of constant positive flag curvature on S^2

Bryant, R; Foulon, P; Ivanov, S; Matveev, VS; Ziller, W

We study non-reversible Finsler metrics with constant flag curvature 1 on S^2 and show that the geodesic flow of every such metric is conjugate to that of one of Katok's examples, which form a 1-parameter family. In particular, ...