Title of article
Affine diameters of convex bodies—a survey
Author/Authors
V. Soltan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
17
From page
47
To page
63
Abstract
This survey covers various topics related to affine diameters of convex bodies in Euclidean space. It describes the known properties of affine diameters and contains a list of existing and new open problems. Also, characterizations of simplices and centrally symmetric convex bodies, as well as a description of a measure of symmetry in terms of affine diameters, are given.
Keywords
Affine diameter , Convex body , Convex polytope , Critical set , Critical ratio , Measure ofsymmetry , Conjugate diameters , Simplex
Journal title
Expositiones Mathematicae
Serial Year
2005
Journal title
Expositiones Mathematicae
Record number
703320
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