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Jung's theorem for a pair of Minkowski spaces
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Vladimir Boltyanski
Veröffentlicht/Copyright:
16. Oktober 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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Artikel in diesem Heft
- 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
Schlagwörter für diesen Artikel
Direct vector sum;
H-convexity;
Jung's theorem;
Minkowski geometry;
Minkowski metric;
normed linear space
Artikel in diesem Heft
- 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
