Positive center sets of convex curves

DOI10.1007/s00454-015-9715-9zbMath1327.52005OpenAlexW2112975363MaRDI QIDQ745675

Shengliang Pan, Ping-Liang Huang, Yunlong Yang

Publication date: 14 October 2015

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-015-9715-9

zbMATH Keywords

convex curveinner parallel bodyconstant width curvepositive center setsausage curve

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (3)

Notes on the log-Brunn-Minkowski inequality ⋮ POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY ⋮ The \(\varepsilon\)-positive center set and its applications

Cites Work

• The log-Brunn-Minkowski inequality
• Asymmetry of convex bodies of constant width
• An isoperimetric inequality with applications to curve shortening
• Curve shortening makes convex curves circular
• On the minimal convex annulus of a planar convex body
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• On the location of roots of Steiner polynomials
• Bonnesen-Style Isoperimetric Inequalities
• Positive Centers and the Bonnesen Inequality
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