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Parametric versions of Hilbert’s fourth problem

✍ Scribed by R. V. Ambartzumian; V. K. Oganian

Book ID
110671411
Publisher
The Hebrew University Magnes Press
Year
1998
Tongue
English
Weight
922 KB
Volume
103
Category
Article
ISSN
0021-2172

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A finite vector sum of line segments is termed a zonotope. A zonoid is a Blaschke-Hausdorfflimit ofzonotopes. A projective metric d on a convex subset of projective space is shown to be of negative type if and only if the spheres in any tangent space are polar duals of zonoids. It follows that metri