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arxiv: 1601.06691 · v1 · pith:7FYGOIPSnew · submitted 2016-01-25 · 🧮 math.DS · math.DG

Minimal geodesics and integrable behavior in geodesic flows

classification 🧮 math.DS math.DG
keywords geodesicsminimalarticleattentionbehaviorcaseclassicalfinsler
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In this survey article we gather classical as well as recent results on minimal geodesics of Riemannian or Finsler metrics, giving special attention to the two-dimensional case. Moreover, we present open problems together with some first ideas as to the solutions.

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