Uniqueness of shortest closed geodesics for generic Finsler metrics

2014/05/12 by Jan Philipp Schröder, Schröder, Jan Philipp · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1405.2756

openalex publication_date 2014/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In every conformal class of Finsler (or Riemannian) metrics on a closed manifold there exists a residual subset of Finsler metrics, such that, with respect to the residual Finsler metrics, in any non-trivial homotopy class of free loops there is precisely one shortest geodesic loop.

Cited by

• Minimal geodesics and integrable behavior in geodesic flows

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