On the Finsler metrics obtained as limits of chessboard structures

Details On the Finsler metrics obtained as limits of chessboard structures On the Finsler metrics obtained as limits of chessboard structures

2008-04-28

arxiv.org/abs/0804.4388v1

Mathematics

Analysis of PDEs

31 pages, 15 figures

Scientific paper

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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