Kropina metrics and Zermelo navigation on Riemannian manifolds

By R. Yoshikawa, S. Sabău. 2012

63 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/80f75de377ab2f715b61b10d93b6d72571fb793e