Some Bonnesen-style inequalities for higher dimensions

DOI10.1007/s10114-012-9657-6zbMath1272.52006OpenAlexW2068977245MaRDI QIDQ1941322

Fei Cheng, Yan Hua Du, Jia-zu Zhou

Publication date: 12 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9657-6

zbMATH Keywords

isoperimetric inequalityconvex domainisoperimetric deficitBonnesen-style inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

Bonnesen-style inequalities on surfaces of constant curvature ⋮ Bonnesen-style symmetric mixed inequalities ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ The Bonnesen isoperimetric inequality in a surface of constant curvature ⋮ On containment measure and the mixed isoperimetric inequality ⋮ A new counterexample to Sangwine-Yager's conjecture ⋮ Some Bonnesen-style Minkowski inequalities

Cites Work

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• An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature
• Isoperimetric inequalities for two-dimensional Riemannian manifolds with boundary
• A sharp four dimensional isoperimetric inequality
• An error estimate for the isoperimetric deficit
• The Willmore functional and the containment problem in \(R^{4}\)
• 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
• Bonnesen-style inequalities and pseudo-perimeters for polygons
• On the isoperimetric inequality on a minimal surface
• The affine Sobolev inequality.
• Sharp affine \(L_ p\) Sobolev inequalities.
• Isoperimetric inequalities and identities for \(k\)-dimensional cross-sections of convex bodies
• Bonnesen-type inequalities for surfaces of constant curvature
• Sharp isoperimetric inequalities and sphere theorems
• A generalization of the isoperimetric inequality
• Die isoperimetrische Ungleichung im Raum
• SOME NEW BONNESEN-STYLE INEQUALITIES
• Discrete Wirtinger and isoperimetric type inequalities
• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• The sharp Sobolev inequality and the Banchoff-Pohl inequality on surfaces
• Sufficient conditions for one domain to contain another in a space of constant curvature
• The Isoperimetric Inequality for Nonsimple Closed Curves
• Isoperimetric Inequalities for Immersed Closed Spherical Curves
• A Generalization of the Isoperimetric Inequality on S 2 and Flat Tori in S 3
• Geometric inequalities and inclusion measures of convex bodies
• The Sufficient Condition for a Convex Body to Enclose Another in ℝ 4
• Kinematic Formulas for Mean Curvature Powers of Hypersurfaces and Hadwiger's Theorem in ℝ 2n
• Schur-convex functions and isoperimetric inequalities
• Isoperimetric Inequalities on Surfaces of Constant Curvature
• On Willmore's Inequality for Submanifolds
• THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

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