The convex intersection body of a convex body

Mathieu Meyer, Shlomo Reisner

Research output: Contribution to journalArticlepeer-review


Let L be a convex body in Rn and z an interior point of L. We associate with L and z a new, convex and centrally symmetric, body CI(L, z). This generalizes the classical intersection body I(L, z) (whose radial function at u∈Sn-1 is the volume of the hyperplane section of L through z, orthogonal to u). CI(L, z) coincides with I(L, z) if and only if L is centrally symmetric about z. We study the properties of CI(L, z).

Original languageEnglish
Pages (from-to)523-534
Number of pages12
JournalGlasgow Mathematical Journal
Issue number3
StatePublished - 1 Sep 2011

Bibliographical note

Publisher Copyright:
Copyright © Glasgow Mathematical Journal Trust 2011.

ASJC Scopus subject areas

  • General Mathematics


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