The Cut Locus of a Torus of Revolution

Jens Gravesen; Steen Markvorsen; Robert Sinclair; Minuro Tanaka

The Cut Locus of a Torus of Revolution

Jens Gravesen
, Steen Markvorsen
, Robert Sinclair
, Minuro Tanaka

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We determine the structure of the cut locus of a class of tori of revolution, which includes the standard tori in 3-dimensional Euclidean space.

Original language	English
Journal	Asian Journal of Mathematics
Volume	9
Issue number	1
Pages (from-to)	103-120
ISSN	1093-6106
Publication status	Published - 2005

Keywords

Cut locus
A torus of revolution
Geodesic

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title = "The Cut Locus of a Torus of Revolution",

abstract = "We determine the structure of the cut locus of a class of tori of revolution, which includes the standard tori in 3-dimensional Euclidean space. ",

keywords = "Cut locus, A torus of revolution, Geodesic",

author = "Jens Gravesen and Steen Markvorsen and Robert Sinclair and Minuro Tanaka",

year = "2005",

language = "English",

volume = "9",

pages = "103--120",

journal = "Asian Journal of Mathematics",

issn = "1093-6106",

publisher = "International Press, Inc.",

number = "1",

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TY - JOUR

T1 - The Cut Locus of a Torus of Revolution

AU - Gravesen, Jens

AU - Markvorsen, Steen

AU - Sinclair, Robert

AU - Tanaka, Minuro

PY - 2005

Y1 - 2005

N2 - We determine the structure of the cut locus of a class of tori of revolution, which includes the standard tori in 3-dimensional Euclidean space.

AB - We determine the structure of the cut locus of a class of tori of revolution, which includes the standard tori in 3-dimensional Euclidean space.

KW - Cut locus

KW - A torus of revolution

KW - Geodesic

M3 - Journal article

SN - 1093-6106

VL - 9

SP - 103

EP - 120

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 1

ER -

The Cut Locus of a Torus of Revolution

Abstract

Keywords

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