New Lp affine isoperimetric inequalities

Elisabeth Werner, Deping Ye

Research output: Contribution to journalArticlepeer-review

148 Scopus citations


We prove new Lp affine isoperimetric inequalities for all p ∈ [- ∞, 1). We establish, for all p ≠ - n, a duality formula which shows that Lp affine surface area of a convex body K equals Lfrac(n2, p) affine surface area of the polar body K.

Original languageEnglish (US)
Pages (from-to)762-780
Number of pages19
JournalAdvances in Mathematics
Issue number3
StatePublished - Jun 20 2008
Externally publishedYes


  • Affine surface area
  • L Brunn Minkowski theory


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