45 citations · 270 across the 37 of their papers we have counts for
5 papers · 2 filters
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…
On the existence of Generalized Unicorns on Surfaces
S. V. Sabau, K. Shibuya, H. Shimada
This paper addresses the problem of existence of generalized Landsberg structures on surfaces using the Cartan-Kähler Theorem and a Path Geometry approach.
Generalized Finsler structures on closed 3-manifolds
Sorin V. Sabau, Kazuhiro Shibuya, Gheorghe Pitis
An (I,J,K)-generalized Finsler structure on a 3-manifold is a generalization of a Finslerian structure, introduced in order to separate and clarify the local and global aspects in…
The cut locus and distance function from a closed subset of a Finsler manifold
Minoru Tanaka, Sorin V. Sabau
We characterize the differentiable points of the distance function from a closed subset of an arbitrary dimensional Finsler manifold in terms of the number of -segments. In…
Necessary and sufficient conditions for two dimensional -metrics with reversible geodesics
Ioana M. Masca, Sorin V. Sabau, Hideo Shimada
We study the necessary and sufficient conditions for a Finsler surface with -metrics to be with reversible geodesics.