13 citations · 19 across the 4 of their papers we have counts for
4 papers
Geodesics on strong Kropina manifolds
Sorin V. Sabau, Kazuhiro Shibuya, Ryozo Yoshikawa
We study the behavior of the geodesics of strong Kropina spaces. The global and local aspects of geodesics theory are discussed. Our theory is illustrated with several examples.
Some remarks on the geometry of Kropina spaces
Ryozo Yoshikawa, Sorin V. Sabau
Using the navigation data (h,W) of a Kropina space, we characterize weakly-Berwald Kropina spaces and Berwald Kropina spaces by means of the Killing vector field W and the parallel…
Kropina metrics and Zermelo navigation on Riemannian manifolds
Ryozo Yoshikawa, Sorin V. Sabau
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 curvatur…
Kropina spaces of constant curvature II (long version)
R. Yoshikawa, K. Okubo
In this paper conditions for a Kropina structure to be of constant flag curvature are obtained.