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arxiv: 0804.4388 · v1 · pith:YOUXSIUKnew · submitted 2008-04-28 · 🧮 math.AP · math.MG

On the Finsler metrics obtained as limits of chessboard structures

classification 🧮 math.AP math.MG
keywords chessboardfinslermetricsobtainedstructurestructuresallowbeta
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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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