Bonnesen-type inequalities for surfaces of constant curvature

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dc.creatorKlain, Daniel A.
dc.date2007-02-28
dc.date.accessioned2026-07-07T07:49:25Z
dc.date.available2026-07-07T07:49:25Z
dc.descriptionA Bonnesen-type inequality is a sharp isoperimetric inequality that includes an error estimate in terms of inscribed and circumscribed regions. A kinematic technique is used to prove a Bonnesen-type inequality for the Euclidean sphere (having constant positive Gauss curvature) and the hyperbolic plane (having constant negative Gauss curvature). These generalized inequalities each converge to the classical Bonnesen-type inequality for the Euclidean plane as the curvature approaches zero.
dc.descriptionLatex, 11 pages
dc.identifierhttps://arxiv.org/abs/math/0702897
dc.identifierhttp://arxiv.org/abs/math/0702897
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124838
dc.subjectMetric Geometry
dc.subject52A55; 52A22
dc.titleBonnesen-type inequalities for surfaces of constant curvature
dc.typetext

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