Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature

DOI10.1007/s11425-013-4578-0zbMath1306.52002OpenAlexW2471848818WikidataQ125956596 ScholiaQ125956596MaRDI QIDQ365847

BaoCheng Zhu, Wenxue Xu, Yunwei Xia, Jia-zu Zhou

Publication date: 9 September 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4578-0

zbMATH Keywords

isoperimetric deficitcontainment measurereverse Bonnesen style inequalitysurface of constant curvature

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Non-Euclidean differential geometry (53A35) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (7)

Kinematic formulas of total mean curvatures for hypersurfaces ⋮ Translative containment measure and symmetric mixed isohomothetic inequalities ⋮ Bonnesen-style symmetric mixed inequalities ⋮ Reverse Bonnesen-style inequalities on surfaces of constant curvature ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ A sharp reverse Bonnesen-style inequality and generalization ⋮ A sausage body is a unique solution for a reverse isoperimetric problem

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