The geometry of a positively curved Zoll surface of revolution

Abstract

In this paper, we study the geometry of the manifolds of geodesics of a Zoll surface of positive Gauss curvature, show how these metrics induce Finsler metrics of constant flag curvature and give some explicit constructions.

References in corpus (2)

• Some remarks on Finsler manifolds with constant flag curvature
• Differential invariants for cubic integrals of geodesic flows on surfaces

Cited by in corpus (1)

• A Finsler metric of constant Gauss curvature $K=1$ on 2-sphere