The Cut Locus of Riemannian Manifolds: a Surface of Revolution

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Published: Mar 30, 2018
Keywords:
Riemannian manifolds, surface of revolution, homeomorphic

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Minoru Tanaka*
Department of Mathematics, Tokai University, Kanagawa, Japan

Abstract

Abstract


 


This article reviews the structure theorems of the cut locus for very familiar surfaces of revolution. Some properties of the cut locus of a point of a Riemannian manifold are also discussed.


 Keywords: Riemannian manifolds, surface of revolution, homeomorphic


*Corresponding author:


E-mail: [email protected]


 

Article Details

Issue
Vol. 16 No. 1 (2016)
Section
Review Ariticle

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