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The geometry of a Randers rotational surface with an arbitrary direction wind

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.

preprint2021arXivOpen access
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