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The geometry of a randers rotational surface

Author(s)
Hama, Rattanasak
Chitsakul, Pakkinee
Sabau, Sorin V.
Date Issued
January 1, 2015
Type
Article
DOI
10.5486/PMD.2015.7395
Abstract
We study the behaviour of geodesics on a Randers rotational surface of revolution. The main tool is the extension of Clairaut relation from Riemannian case to the Randers case. Moreover, we consider the embedding problem of this surface in a Minkowski space as a hypersurface. Finally, we study the rays and poles as well as the structure of the cut locus of a Randers rotational surface of revolution of von Mangoldt type.
Citation
Publicationes Mathematicae Debrecen, 87(3-4), 473-502, 2015
Subjects

And phrases: surface ...

Finsler surfaces

Geodesics

Riemannian surfaces

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