The geometry on the slope of a mountain

Miskolc Mathematical Notes

article

P. Chansri¹  P. Chansangiam¹  Sorin V. Sabau² 

[1] King Mongkut’s Institute of Technology Ladkrabang, Faculty of Science, Department of Mathematics;Tokai University, Department of Biological Sciences

关键词: Finsler metric;    slope metric;    surface of revolution;    geodesic;   

DOI  :  10.18514/MMN.2020.2807

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

The geometry on a slope of a mountain is the geometry of a Finsler metric called here the 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.

【 授权许可】

CC BY