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http://dx.doi.org/10.4134/JKMS.2007.44.6.1363

THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE  

Zhou, Jiazu (SCHOOL OF MATHEMATICS AND STATISTICS SOUTHWEST UNIVERSITY)
Chen, Fangwei (SCHOOL OF MATHEMATICS AND STATISTICS WUHAN UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1363-1372 More about this Journal
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;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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