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math.DG2021★ 2 cited
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…
math.DG2018★ 1 cited
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…
math.DG2018
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…