THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

Title & Authors
THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE
Zhou, Jiazu; Chen, Fangwei;

Abstract
We investigate the containment measure of one domain to contain in another domain in a plane $\small{X^{\kappa}}$ 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 $\small{X^{\kappa}}$.
Keywords
isoperimetric inequality;Bonessen inequality;kinematic measure;containment measure;hyperbolic plane;projective plane;geodesic disc;
Language
English
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