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Location of radial centres of convex bodies
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Irmina Herburt
Published/Copyright:
May 21, 2008
Abstract
The radial centre of a convex body A in ℝn is the point in A at which the mean value of distances from the boundary of A, with respect to all directions, attains its maximum. We prove that if A is smooth, then its radial centre is an interior point of A.
Received: 2007-01-15
Revised: 2007-07-14
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008
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Articles in the same Issue
- A Kantor family admitting a normal F-factor constitutes a p-group
- Planar compact sets whose intersections are starshaped via orthogonally convex paths
- An improvement of a theorem of Van de Ven
- Quadratic modules of polynomials in two variables
- On arithmetic Zariski pairs in degree 6
- Ample vector bundles with zero loci of small Δ-genera
- Defect and Hodge numbers of hypersurfaces
- On rational maps from a general surface in to surfaces of general type
- Location of radial centres of convex bodies
