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Kropina metrics and Zermelo navigation on Riemannian manifolds

By Ryozo Yoshikawa and Sorin V. Sabau

Abstract

The present paper studies globally defined Kropina metrics as solutions of the Zermelo's navigation problem. Moreover, we characterize the Kropina metrics of constant flag curvature showing that up to local isometry, there are only two model spaces of them: the Euclidean space and the odd-dimensional spheres

Topics: Mathematics - Differential Geometry
Year: 2012
OAI identifier: oai:arXiv.org:1209.0340

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