Publication: THE GEOMETRY ON THE SLOPE OF A MOUNTAIN
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Abstract
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.
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Keywords
Finsler metric, geodesic, slope metric, surface of revolution
Citation
Miskolc Mathematical Notes, 21(2), 747-762, 2020