Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 243-246 (2008)

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Banach-Mazur Distance of Central Sections of a Centrally Symmetric Convex Body

Marek Lassak

Institute of Mathematics and Physics, University of Technology
Kaliskiego 7, 85-796 Bydgoszcz, Poland, e-mail:

Abstract: We prove that the Banach-Mazur distance between arbitrary two central sections of co-dimension $c$ of any centrally symmetric convex body in $E^n$ is at most $\big(2c+1)^2$.

Keywords: convex body, section, Banach-Mazur distance

Classification (MSC2000): 52A21, 46B20

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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.

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