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Jung's theorem for a pair of Minkowski spaces
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Vladimir Boltyanski
Published/Copyright:
October 16, 2006
Abstract
We give generalizations of Jung's theorem for the case when there are two Minkowski metrics in ℝn one of which is used to define the diameter of a set M ∈ ℝn, and the other to determine the radius of the Minkowski ball containing M.
Key words: Direct vector sum; H-convexity; Jung's theorem; Minkowski geometry; Minkowski metric; normed linear space
Received: 2005-08-04
Revised: 2005-10-10
Published Online: 2006-10-16
Published in Print: 2006-10-01
© Walter de Gruyter
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Keywords for this article
Direct vector sum;
H-convexity;
Jung's theorem;
Minkowski geometry;
Minkowski metric;
normed linear space
Articles in the same Issue
- On the critical points of a Riemannian surface
- The extrinsic polyharmonic map heat flow in the critical dimension
- Shult sets and translation ovoids of the Hermitian surface
- Classification of generalized polarized manifolds by their nef values
- Fano manifolds of coindex four as ample sections
- Groups generated by affine perspectivities
- Definability results for the Poisson equation
- Jung's theorem for a pair of Minkowski spaces
