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About the centroid blody and the ellipsoid of inertia

Published online by Cambridge University Press:  26 February 2010

T. Bisztriczky  and
K. Böröczky Jr.
T. Bisztriczky
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4. E-mail: tbisztri@math.ucalgary.ca.
K. Böröczky Jr.
Affiliation:
Renyi Institute of Mathematics, Budapest Pf. 127, H-1364 Hungary. E-mail: carlos@math-inst.hu
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Extract

The centroid body. Recall that the support function of a compact convex set K is denned to be hK(u) = maxxΣk: {<u, x>}. The support function hK is positive homogeneous and convex, and any function with these properties is the support function of some compact convex set (see the illuminating paper of Berger [2], or the classic [5] by Bonnesen and Fenchel).

Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 1 - 13
Copyright
Copyright © University College London 2001

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