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arXiv · 1811.02123

The geometry on the slope of a mountain

P. Chansri·P. Chansangiam·S. V. Sabau
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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.

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P. Chansri, P. Chansangiam, S. V. Sabau. 2018-11-06. The geometry on the slope of a mountain. https://arxiv.org/abs/1811.02123

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