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      On the Finsler metrics obtained as limits of chessboard structures

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          Abstract

          We study the geodesics in a planar chessboard structure with two values 1 and \(\beta>1\). The results for a fixed structure allow us to infer the properties of the Finsler metrics obtained, with an homogenization procedure, as limit of oscillating chessboard structures.

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          Author and article information

          Journal
          28 April 2008
          Article
          0804.4388
          8aa225cd-598a-4335-8014-fa2e3be8b8ef

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          35B27
          31 pages, 15 figures
          math.AP math.MG

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