The geometry on the slope of a mountain
Differential Geometry
2021-02-01 v2
Abstract
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.
Cite
@article{arxiv.1811.02123,
title = {The geometry on the slope of a mountain},
author = {P. Chansri and P. Chansangiam and S. V. Sabau},
journal= {arXiv preprint arXiv:1811.02123},
year = {2021}
}