Identifying set inclusion by projective positions and mixed volumes

Dan Florentin, Vitali Milman*, Alexander Segal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study a few approaches to identify inclusion (up to a shift) between two convex bodies in Rn. To this goal we use mixed volumes and fractional linear maps. We prove that inclusion may be identified by comparing volume or surface area of all projective positions of the sets. We prove similar results for Minkowski sums of the sets.

Original languageEnglish
Pages (from-to)133-145
Number of pages13
JournalLecture Notes in Mathematics
StatePublished - 2014


FundersFunder number
European Research Council305629


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