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Variations of Classic Characterizations of Ellipsoids and a Short Proof of the False Centre Theorem

Part of: General convexity

Published online by Cambridge University Press:  21 December 2009

L. Montejano  and
E. Morales-Amaya
L. Montejano
Affiliation:
Instituto de Matemáticas, UNAM, Circuito exterior, C.U., México D.F., 04510, México. E-mail: luis@math.unam.mx
E. Morales-Amaya
Affiliation:
Centro de Investigación en Matemáticas, A.C., A.P., 402, Guanajuato, Gto., C.P. 3600, México. E-mail: efren@cimat.mx
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Abstract

Variations and generalizations of several classical theorems concerning characterizations of ellipsoids are developed. In particular, these lead to a short and comprehensible proof of the false centre theorem.

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)
Type
Research Article
Information
Mathematika , Volume 54 , Issue 1-2 , December 2007 , pp. 35 - 40
Copyright
Copyright © University College London 2007

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References

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