English

Zermelo navigation on Riemannian manifolds

Differential Geometry 2007-05-23 v1

Abstract

In this paper, we study Zermelo navigation on Riemannian manifolds and use that to solve a long standing problem in Finsler geometry. Namely, the complete classification of strongly convex Randers metrics of constant flag curvature.

Keywords

Cite

@article{arxiv.math/0311233,
  title  = {Zermelo navigation on Riemannian manifolds},
  author = {David Bao and Colleen Robles and Zhongmin Shen},
  journal= {arXiv preprint arXiv:math/0311233},
  year   = {2007}
}
R2 v1 2026-07-22T16:59:39.848Z