The spherical convex floating body

Florian Besau, Elisabeth M. Werner

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new spherical area measure, the floating area. Remarkably, this floating area turns out to be a spherical analogue to the classical affine surface area from affine differential geometry. Several properties of the floating area are established.

Original languageEnglish (US)
Pages (from-to)867-901
Number of pages35
JournalAdvances in Mathematics
Volume301
DOIs
StatePublished - Oct 1 2016

Keywords

  • Floating area
  • Spherical convex floating body
  • Spherical convexity

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