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THE GEOMETRY ON THE SLOPE OF A MOUNTAIN.

Authors :
CHANSRI, P.
CHANSANGIAM, P.
SABAU, SORIN V.
Source :
Miskolc Mathematical Notes. 2020, Vol. 21 Issue 2, p747-762. 16p.
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FINSLER spaces
*RIEMANNIAN geometry
*SURFACE of revolution (Geometry)
*GENERALIZATION
*RIEMANNIAN manifolds

Details

Language :
English
ISSN :
17872405
Volume :
21
Issue :
2
Database :
Academic Search Index
Journal :
Miskolc Mathematical Notes
Publication Type :
Academic Journal
Accession number :
147849759
Full Text :
https://doi.org/10.18514/MMN.2020.2807
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