The geometry of a Randers rotational surface with an arbitrary direction wind
Differential Geometry
2021-02-01 v1
Abstract
In the present paper we study the global behaviour of geodesics on a Randers metric, defined on a topological cylinder, obtained as the solution of the Zermelo's navigation problem. Our wind is not necessarily a Killing field. In special we concentrate our study on the geodesics equation on the base manifold, the conjugate and cut loci.
Cite
@article{arxiv.2101.12399,
title = {The geometry of a Randers rotational surface with an arbitrary direction wind},
author = {Rattanasak Hama and Sorin V. Sabau},
journal= {arXiv preprint arXiv:2101.12399},
year = {2021}
}