THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

- Journal title : Journal of the Korean Mathematical Society
- Volume 44, Issue 6, 2007, pp.1363-1372
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2007.44.6.1363

Title & Authors

THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

Zhou, Jiazu; Chen, Fangwei;

Zhou, Jiazu; Chen, Fangwei;

Abstract

We investigate the containment measure of one domain to contain in another domain in a plane 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 .

Keywords

isoperimetric inequality;Bonessen inequality;kinematic measure;containment measure;hyperbolic plane;projective plane;geodesic disc;

Language

English

Cited by

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