A Problem of L. Fejes Tóth in a Multidimensional Euclidean Space

D. V. Vasin, Yu. G. Nikonorov

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University

Abstract: 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.

Key words: convex body, Euclidean geometry, isoperimetric problem.

UDC: 513

Received: 14.05.2002

 English version: Siberian Advances in Mathematics, 2004, 14:2, 116–125

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