Orlicz centroid bodies

Research output: Contribution to journalArticle

Abstract

The sharp affine isoperimetric inequality that bounds the volume of the centroid body of a star body (from below) by the volume of the star body itself is the Busemann-Petty centroid inequality. A decade ago, the Lp analogue of the classical Busemann- Petty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corresponding analogue of the Busemann-Petty centroid inequality is established for convex bodies.

Original languageEnglish (US)
Pages (from-to)365-387
Number of pages23
JournalJournal of Differential Geometry
Volume84
Issue number2
StatePublished - Feb 2010

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Centroid
Star Body
Analogue
Isoperimetric Inequality
Convex Body

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

Cite this

Orlicz centroid bodies. / Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong.

In: Journal of Differential Geometry, Vol. 84, No. 2, 02.2010, p. 365-387.

Research output: Contribution to journalArticle

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