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

Issued Date

2012-11-01

Resource Type

Article

ISSN

0972415X

Other identifier(s)

2-s2.0-84872001802

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

JP Journal of Geometry and Topology. Vol.12, No.3 (2012), 243-262

Suggested Citation

A. Sama-Ae, W. Kharuwannapat, C. Maneesawarng A lower bound for total curvature of a closed curve in a cat(K) space. JP Journal of Geometry and Topology. Vol.12, No.3 (2012), 243-262. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/14392

Research Projects

Organizational Units

Authors

Journal Issue

Thesis

Title

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

Author(s)

A. Sama-Ae
 W. Kharuwannapat
 C. Maneesawarng

Other Contributor(s)

Prince of Songkla University
 Thaksin University
 Mahidol University
 South Carolina Commission on Higher Education

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© 2012 Pushpa Publishing House.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/14392

Collections

Scopus 2011-2015