Journal
GEOMETRIAE DEDICATA
Volume 171, Issue 1, Pages 119-148Publisher
SPRINGER
DOI: 10.1007/s10711-013-9892-8
Keywords
Kropina spaces; Flag curvature; Killing vector fields; Riemannian isometries
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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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