On some ellipsoid formulas of Busemann, Furstenberg and Tzkoni, Guggenheimer, and Petty

DOI10.1016/0022-247X(91)90218-OzbMath0734.52002OpenAlexW1969926513MaRDI QIDQ810875

Erwin Lutwak

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90218-o

zbMATH Keywords

volumeprojectionsellipsoidhyperplane sections

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Norm estimates for \(k\)-plane transforms and geometric inequalities ⋮ Surface area and other measures of ellipsoids ⋮ Intersection Bodies and the Busemann-Petty Problem ⋮ A functional Busemann intersection inequality ⋮ The Busemann-Petty problem on entropy of log-concave functions ⋮ \(L_p\) intersection bodies

Cites Work

• Inequalities for Hadwiger's harmonic quermassintegrals
• Spherical functions and integral geometry
• A formula of Furstenberg-Tzkoni type
• A simple derivation of a formula of Furstenberg and Tzkoni
• Volume in terms of concurrent cross-sections
• Centroid Bodies and Dual Mixed Volumes
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