Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 2, pp. 491-515 (2008)

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

Gabor Toth

Department of Mathematics, Rutgers University, Camden, New Jersey 08102, e-mail: gtoth@crab.rutgers.edu

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

Keywords: convex set, distortion, measures of symmetry

Classification (MSC2000): 53C42

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Electronic version published on: 18 Sep 2008. This page was last modified: 28 Jan 2013.

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