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arXiv · 2101.12399

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

Rattanasak Hama·Sorin V. Sabau
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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.

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Rattanasak Hama, Sorin V. Sabau. 2021-01-29. The geometry of a Randers rotational surface with an arbitrary direction wind. https://arxiv.org/abs/2101.12399

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