Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2007; 44(6): 1363-1372

Printed November 1, 2007

Copyright © The Korean Mathematical Society.

The Bonnesen-type inequalities in a plane of constant curvature

Jiazu Zhou and Fangwei Chen

Southwest University, Wuhan University

Abstract

We investigate the containment measure of one domain to contain in another domain in a plane $X^\kappa$ of constant curvature. We obtain some Bonnesen-type inequalities involving the area, length, radius of the inscribed and the circumscribed disc of a domain $D$ in $X^\kappa$.

Keywords: isoperimetric inequality, Bonessen inequality, kinematic measure, containment measure, hyperbolic plane, projective plane, geodesic disc.

MSC numbers: Primary 52A22, 53C65; Secondary 51C16

Stats or Metrics

Share this article on :

Related articles in JKMS

more +