45 citations · 270 across the 37 of their papers we have counts for
6 papers · 1 filter
The geometry on the slope of a mountain
P. Chansri, P. Chansangiam, S. V. Sabau
The geometry on a slope of a mountain is the geometry of a Finsler metric, called here the {\it slope metric}. We study the existence of globally defined slope metrics on surfaces…
On the existence of convex functions on Finsler manifolds
Sorin V. Sabau, Pattrawut Chansangiam
We show that a non-compact (forward) complete Finsler manifold whose Holmes- Thompson volume is infinite admits no non-trivial convex functions. We apply this result to some Finsle…
The geometry of a positively curved Zoll surface of revolution
K. Kiyohara, S. V. Sabau, K. Shibuya
In this paper, we study the geometry of the manifolds of geodesics of a Zoll surface of positive Gauss curvature, show how these metrics induce Finsler metrics of constant flag cur…
The cut locus of a Randers rotational 2-sphere of revolution
Rattanasak Hama, Jaipong Kasemsuwan, Sorin V. Sabau
In the present paper we study the structure of the cut locus of a Randers rotational 2-sphere of revolution . We show that in the case when the Gaussian curvature of…
Berwald spaces of bounded curvature are Riemannian
Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau
We prove that Berwald spaces whose flag curvature is nowhere vanishing are in fact Riemannian spaces. This means that any Berwald space with flag curvature bounded below by a posit…
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.