On the structure of convex sets with applications to the moduli of spherical minimal immersions

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Abstract

We study the properties of certain affine invariant measures of symmetry associated to a compact convex body L in a Euclidean vector space. As functions of the interior of L, these measures of symmetry are proved or disproved to be concave in specific situations, notably for the reduced moduli of spherical minimal immersions.

Original languageEnglish (US)
Pages (from-to)491-515
Number of pages25
JournalBeitrage zur Algebra und Geometrie
Volume49
Issue number2
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Keywords

  • Convex set
  • Distortion
  • Measures of symmetry

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