[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j170413

NOTES ON THE MINKOWSKI MEASURE, THE MINKOWSKI SYMMETRAL, AND THE BANACH-MAZUR DISTANCE

Huang, Xing (School of Mathematics and Information Science Guangzhou University)

Publication Information

Journal of the Korean Mathematical Society / v.55, no.3, 2018 , pp. 695-704 More about this Journal

Abstract

In this paper we derive some basic inequalities connecting the Minkowski measure of symmetry, the Minkowski symmetral and the Banach-Mazur distance. We then explore the geometric contents of these inequalities and shed light on the structure of the quotient 𝔅/Aff of the space of convex bodies modulo the affine transformations.

Keywords

convex body; Minkowski measure of symmetry; Minkowski symmetral; Banach-Mazur distance;

Citations & Related Records

Reference

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