Geodesic
A~Problem of L.~Fejes~T\'oth in a~Multidimensional Euclidean Space
Matematičeskie trudy, Tome 6 (2003) no. 2, pp. 3-13.

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We study L. Fejes Tóth's characteristics for convex bodies in a multidimensional Euclidean space. In particular, we prove existence of extremal convex bodies for these characteristics. 
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D. V. Vasin; Yu. G. Nikonorov. A~Problem of L.~Fejes~T\'oth in a~Multidimensional Euclidean Space. Matematičeskie trudy, Tome 6 (2003) no. 2, pp. 3-13. http://geodesic.mathdoc.fr/item/MT_2003_6_2_a0/

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