The geometry on the slope of a mountain

2018/11/06 by P. Chansri, Chansri, P., Pattrawut Chansangiam +3 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.02123

openalex publication_date 2018/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Finsler Metrics with K = 0 and S = 0

Cited by

• A general model for time-minimizing navigation on a mountain slope under gravity

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