Applications of various inequalities to Minkowski geometry

DOI10.1007/BF01264921zbMath0782.52004OpenAlexW2045702013MaRDI QIDQ1801635

Yanyan Li

Publication date: 17 August 1993

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264921

zbMATH Keywords

Minkowski spaceHaar measureMinkowski contentisoperimetrixself-surface-area

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (2)

Integral geometry in Minkowski spaces ⋮ On isoperimetric inequalities in Minkowski spaces

Cites Work

• The difference body of a convex body
• Extended affine surface area
• Intersection bodies and dual mixed volumes
• N-dimensional area and content in Minkowski spaces
• Inner diameter, perimeter, and girth of spheres
• Some properties of the self-circumference of convex sets
• The foundations of Minkowskian geometry
• Volume in terms of concurrent cross-sections
• Mixed Projection Inequalities
• Problems on convex bodies
• Zonoids with Minimal Volume-Product--A New Proof
• A Class of Convex Bodies
• A Theorem on Convex Bodies of the Brunn-Minkowski Type
• Some Characterizations of Inner-Product Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Applications of various inequalities to Minkowski geometry