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The structure theorem for the cut locus of a certain class of cylinders of revolution I
Author(s)
Chitsakul, Pakkinee
Komori-Furuya, Y.
Date Issued
December 1, 2014
Type
Article
Abstract
The aim of this paper is to determine the structure of the cut locus for a class of surfaces of revolution homeomorphic to a cylinder. Let M denote a cylinder of revolution which admits a reflective symmetry fixing a parallel called the equator of M. It will be proved that the cut locus of a point p of M is a subset of the union of the meridian and the parallel opposite to p respectively, if the Gaussian curvature of M is decreasing on each upper half meridian.
Citation
Tokyo Journal of Mathematics, 37(2), 473-484, 2014