The Santalö-regions of a convex body

Mathieu Meyer, Elisabeth Werner

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

Motivated by the Blaschke-Santalo inequality, we define for a convex body K in Rn and for t ∈ R the Santalo-regions S(K, t) of K. We investigate the properties of these sets and relate them to a concept of affine differential geometry, the affine surface area of K.

Original languageEnglish (US)
Pages (from-to)4569-4591
Number of pages23
JournalTransactions of the American Mathematical Society
Volume350
Issue number11
DOIs
StatePublished - 1998

Keywords

  • Affine surface area
  • Blaschke-santalö inequality

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