The volume of the intersection of a convex body with its translates

M. Meyer, S. Reisner, M. Schmuckenschläger

Research output: Contribution to journalArticlepeer-review

Abstract

It is proved that for a symmetric convex body K in Rn, if for some [formula omitted] depends on [formula omitted] then K is an ellipsoid. As a part of the proof, smoothness properties of convolution bodies are studied.

Original languageEnglish
Pages (from-to)278-289
Number of pages12
JournalMathematika
Volume40
Issue number2
DOIs
StatePublished - 1993

Bibliographical note

Funding Information:
Dr. Schmuckenschlager acknowledges support from an Erwin Schrodinger stipendium, held at the Johannes Kepler Universitat, Linz, Austria.

ASJC Scopus subject areas

  • Mathematics (all)

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