A lower bound for total curvature of a closed curve in a cat(K) space

A. Sama-Ae; W. Kharuwannapat; C. Maneesawarng

A lower bound for total curvature of a closed curve in a cat(K) space

A. Sama-Ae
, W. Kharuwannapat
, C. Maneesawarng

Department of Mathematics

Prince of Songkla University
CHE
Thaksin University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A lower bound for total curvature of a closed curve in a metric space of nonzero curvature in the sense of Alexandrov is investigated in this A. Sama-Ae, W. Kharuwannapat and C. Maneesawarng paper. We find that the total curvature of a closed curve 2π in case of K < 0, and is more than or qual to case of K > 0, where its perimeter Our results extend some well-known facts proved by Tsukamoto [1

Original language	English
Pages (from-to)	243-262
Number of pages	20
Journal	JP Journal of Geometry and Topology
Volume	12
Issue number	3
Publication status	Published - Nov 2012

Keywords

Cat(K)
Closed curve
Total curvature

Cite this

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abstract = "A lower bound for total curvature of a closed curve in a metric space of nonzero curvature in the sense of Alexandrov is investigated in this A. Sama-Ae, W. Kharuwannapat and C. Maneesawarng paper. We find that the total curvature of a closed curve 2π in case of K < 0, and is more than or qual to case of K > 0, where its perimeter Our results extend some well-known facts proved by Tsukamoto [1",

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AU - Sama-Ae, A.

AU - Kharuwannapat, W.

AU - Maneesawarng, C.

PY - 2012/11

Y1 - 2012/11

N2 - A lower bound for total curvature of a closed curve in a metric space of nonzero curvature in the sense of Alexandrov is investigated in this A. Sama-Ae, W. Kharuwannapat and C. Maneesawarng paper. We find that the total curvature of a closed curve 2π in case of K < 0, and is more than or qual to case of K > 0, where its perimeter Our results extend some well-known facts proved by Tsukamoto [1

AB - A lower bound for total curvature of a closed curve in a metric space of nonzero curvature in the sense of Alexandrov is investigated in this A. Sama-Ae, W. Kharuwannapat and C. Maneesawarng paper. We find that the total curvature of a closed curve 2π in case of K < 0, and is more than or qual to case of K > 0, where its perimeter Our results extend some well-known facts proved by Tsukamoto [1

KW - Cat(K)

KW - Closed curve

KW - Total curvature

UR - https://www.scopus.com/pages/publications/84872001802

M3 - Article

AN - SCOPUS:84872001802

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JO - JP Journal of Geometry and Topology

JF - JP Journal of Geometry and Topology

IS - 3

ER -

A lower bound for total curvature of a closed curve in a cat(K) space

Abstract

Keywords

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