Bonnesen-style inequalities on surfaces of constant curvature

DOI10.1186/s13660-018-1918-1zbMath1498.52013OpenAlexW2900857377WikidataQ59812659 ScholiaQ59812659MaRDI QIDQ824900

Min Chang

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1918-1

zbMATH Keywords

isoperimetric inequalityisoperimetric deficitBonnesen-style inequalitysurface of constant curvature

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities and extremum problems in real or complex geometry (51M16) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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• Isoperimetric inequalities for two-dimensional Riemannian manifolds with boundary
• An error estimate for the isoperimetric deficit
• Integral representations of quermass-integrals and Bonnesen-Style inequalities
• Isoperimetric inequalities for closed curves in spaces of constant curvature
• A generalization of the isoperimetric inequality in the hyperbolic plane
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• The Bonnesen isoperimetric inequality in a surface of constant curvature
• Some Bonnesen-style inequalities for higher dimensions
• Bonnesen-type inequalities for surfaces of constant curvature
• Sharp isoperimetric inequalities and sphere theorems
• A generalization of the isoperimetric inequality
• Über das isoperimetrische Problem im Raum von \(n\) Dimensionen
• Integral formulas in Crofton's style on the sphere and some inequalities referring to spherical curves
• Integral geometry on surfaces of constant negative curvature
• On Bonnesen-type inequalities for a surface of constant curvature
• SOME NEW BONNESEN-STYLE INEQUALITIES
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• A Generalization of the Isoperimetric Inequality on S 2 and Flat Tori in S 3
• Isoperimetric Inequalities on Surfaces of Constant Curvature
• Convex Bodies The Brunn-MinkowskiTheory
• THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

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