The isodiametric problem and other inequalities in the constant curvature 2-spaces
type: Item
instance of: scholarly article
title: The isodiametric problem and other inequalities in the constant curvature 2-spaces
zbMATH Open document ID: 1325.52007
author: Maria A. Hernández Cifre
author: Antonio R. Martínez Fernández
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2015-09-21T00:00:00Z
review text: The authors of this paper extend several classical inequalities for convex bodies in \(\mathbb{R}^{2}\) to analogous cases in \(2\)-dimensional spaces of constant curvature.
reviewed by: Guangxian Zhu
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A55
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 6483910
zbMATH Keywords: spherical/hyperbolic isodiametric inequality
zbMATH Keywords: Rosenthal-Szasz theorem
zbMATH Keywords: spherical/hyperbolic symmetric convex bodies
zbMATH Keywords: minimal (geodesic) width
zbMATH Keywords: perimeter
zbMATH Keywords: area
zbMATH Keywords: diameter
MaRDI profile type: Publication
full work available at URL: s13398-014-0183-5
OpenAlex ID: W2079640348
cites work: Q5316695
cites work: The Jung theorem for spherical and hyperbolic spaces
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cites work: Width of convex bodies in spaces of constant curvature
cites work: Perimeter, Diameter and Area of Convex Sets in the Hyperbolic Plane
cites work: Integral geometry and geometric inequalities in hyperbolic space
cites work: Bonnesen-type inequalities for surfaces of constant curvature
cites work: Q3312869
cites work: Q4110292
cites work: Q2646580
cites work: Geometry of surfaces
DOI: 10.1007/S13398-014-0183-5
description: scientific article; zbMATH DE number 6483910