Elementary approach to closed billiard trajectories in asymmetric normed spaces (Q2817024)
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scientific article; zbMATH DE number 6620013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elementary approach to closed billiard trajectories in asymmetric normed spaces |
scientific article; zbMATH DE number 6620013 |
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Elementary approach to closed billiard trajectories in asymmetric normed spaces (English)
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26 August 2016
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billiards
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Minkowski norm
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Mahler's conjecture
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Minkowski billiard
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A technique from [\textit{D. Bezdek} and \textit{K. Bezdek}, Geom. Dedicata 141, 197--206 (2009; Zbl 1169.52002)] is employed for studying billiard trajectories in convex bodies with the length measured by a (possibly asymmetric) norm. A lower bound result for the length of the shortest closed billiard trajectory is proven and its relation to the non-symmetric Mahler problem is discussed. As a byproduct, some known results from the literature are rediscovered.
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