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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.
Received: 14.05.2002
Citation:
D. V. Vasin, Yu. G. Nikonorov, “A Problem of L. Fejes Tóth in a Multidimensional Euclidean Space”, Mat. Tr., 6:2 (2003), 3–13; Siberian Adv. Math., 14:2 (2004), 116–125
Linking options:
https://www.mathnet.ru/eng/mt90 https://www.mathnet.ru/eng/mt/v6/i2/p3
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Abstract page: | 336 | Full-text PDF : | 123 | References: | 30 | First page: | 1 |
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