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

Gabor Toth

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

Gabor Toth

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 language	English (US)
Pages (from-to)	491-515
Number of pages	25
Journal	Beitrage zur Algebra und Geometrie
Volume	49
Issue number	2
State	Published - 2008

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Keywords

Convex set
Distortion
Measures of symmetry

Cite this

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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.",

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KW - Distortion

KW - Measures of symmetry

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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