Hyperplane projections of the unit ball of ℓpn

F. Barthe, A. Naor

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Let Bpn = {x ∈ℝni=1 n|xi|p ≤ 1}, 1 ≤ p ≤ + ∞. We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H ℝ Rn. For a fixed H, we prove that the ratio vol(PHBpn)/vol(Bpn-1) is non-decreasing in p ∈ [1, +∞].

Original languageEnglish (US)
Pages (from-to)215-226
Number of pages12
JournalDiscrete and Computational Geometry
Issue number2
StatePublished - Mar 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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