Kropina metrics and Zermelo navigation on Riemannian manifolds |
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| Authors: | Ryozo Yoshikawa Sorin V. Sabau |
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| Affiliation: | 1. Hachiman Technical High School, 5 Nishinosho-cho, Hachiman, 523-0816, Japan
2. Department of Mathematics, Tokai University, Sapporo, ?005-8601, Japan
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| 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. |
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