Rotation means of projections

Erwin Lutwak

doi:10.1007/BF02785674

Rotation means of projections

Erwin Lutwak

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

An inequality is obtained between the Quermassintegrals of a convex body and power means of the Quermassintegrals of projections of the body onto subspaces. This inequality is shown to be a strengthened form of the classical inequality between the Quermassintegrals of a convex body. It is used to derive inequalities for rotation means of products of lower dimensional Quermassintegrals of convex bodies, which generalize inequalities obtained by Chakerian, Heil, Knothe, Schneider, and others.

Original language	English (US)
Pages (from-to)	161-169
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	58
Issue number	2
DOIs	https://doi.org/10.1007/BF02785674
State	Published - Jun 1987

ASJC Scopus subject areas

General Mathematics

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title = "Rotation means of projections",

abstract = "An inequality is obtained between the Quermassintegrals of a convex body and power means of the Quermassintegrals of projections of the body onto subspaces. This inequality is shown to be a strengthened form of the classical inequality between the Quermassintegrals of a convex body. It is used to derive inequalities for rotation means of products of lower dimensional Quermassintegrals of convex bodies, which generalize inequalities obtained by Chakerian, Heil, Knothe, Schneider, and others.",

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Rotation means of projections

Abstract

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