Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 491515 (2008) 

On the structure of convex sets with applications to the moduli of spherical minimal immersionsGabor TothDepartment of Mathematics, Rutgers University, Camden, New Jersey 08102, email: gtoth@crab.rutgers.eduAbstract: 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 Full text of the article:
Electronic version published on: 18 Sep 2008. This page was last modified: 28 Jan 2013.
© 2008 Heldermann Verlag
