Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 49, No. 1, pp. 243-246 (2008)
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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 BodyMarek LassakInstitute of Mathematics and Physics, University of TechnologyKaliskiego 7, 85-796 Bydgoszcz, Poland, e-mail: lassak@utp.edu.pl 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 Full text of the article:
Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.
© 2008 Heldermann Verlag
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