Extreme properties of quermassintegrals of convex bodies

DOI10.1007/BF02880133zbMath1006.52003OpenAlexW2043545293MaRDI QIDQ1609689

Lian-Sheng Zhang, Gang Song Leng

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1007/bf02880133

zbMATH Keywords

quermassintegralsLoomis-Whitney inequalityprojections of convex bodies

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Related Items (1)

Inequalities for polars of mixed projection bodies

Cites Work

• Polytopes which are orthogonal projections of regular simplexes
• Intersection bodies and dual mixed volumes
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• On the determination of convex bodies by projection and girth functions
• A positive answer to the Busemann-Petty problem in three dimensions
• Isoperimetric inequalities and identities for \(k\)-dimensional cross-sections of convex bodies
• Zu einem Problem von Shephard über die Projektionen konvexer Körper
• Mixed Projection Inequalities
• Volume Ratios and a Reverse Isoperimetric Inequality
• Centroid Bodies and Dual Mixed Volumes
• Shadows of Convex Bodies
• Dual kinematic formulas
• Intersection Bodies and the Busemann-Petty Problem
• Centered Bodies and Dual Mixed Volumes
• Bodies with similar projections
• On the Determination of Convex Bodies by Projection Functions
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