English

Minimal geodesics and integrable behavior in geodesic flows

Dynamical Systems 2016-01-26 v1 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1601.06691,
  title  = {Minimal geodesics and integrable behavior in geodesic flows},
  author = {Jan Philipp Schröder},
  journal= {arXiv preprint arXiv:1601.06691},
  year   = {2016}
}

Comments

84 pages, 9 figures

R2 v1 2026-06-22T12:36:13.354Z