arXiv subjects

P. Chansangiam

Publications and source records attributed to P. Chansangiam.

2 recordsLinked to original sources

arXiv2021

The geometry on the slope of a mountain

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 of revolution as well as the geodesic's behavior. A comparison between Finslerian and Riemannian areas of a bounded region is also studied.

math.DG↗

arXiv2021

Finslerian indicatrices as algebraic curves and surfaces

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 metrics are generalizations of the famous slope metric, also called Matsumoto metric.

math.DG↗