45 citations · 270 across the 37 of their papers we have counts for
4 papers · 2 filters
A Finsler metric of constant Gauss curvature on 2-sphere
I. Masca, S. V. Sabau, H. Shimada
We construct a concrete example of constant Gauss curvature on the 2-sphere having all geodesics closed and of same length.
Finslerian indicatrices as algebraic curves and surfaces
P. Chansri, P. Chansangiam, S. V. Sabau
We show how to construct new Finsler metrics, in two and three dimensions, whose indicatrices are pedal curves or pedal surfaces of some other curves or surfaces. These Finsler met…
Surfaces of revolution admitting strongly convex slope metrics
P. Chansagiam, P. Chansri, S. V. Sabau
This paper discusses the geometry of a surface endowed with a slope metric. We obtain necessary and sufficient conditions for any surface of revolution to admit a strongly convex s…
The geometry of a Randers rotational surface with an arbitrary direction wind
Rattanasak Hama, Sorin V. Sabau
In the present paper we study the global behaviour of geodesics on a Randers metric, defined on a topological cylinder, obtained as the solution of the Zermelo's navigation problem…