English

On the Finsler metrics obtained as limits of chessboard structures

Analysis of PDEs 2019-07-25 v1 Metric Geometry

Abstract

We study the geodesics in a planar chessboard structure with two values 1 and β>1\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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Cite

@article{arxiv.0804.4388,
  title  = {On the Finsler metrics obtained as limits of chessboard structures},
  author = {Micol Amar and Graziano Crasta and Annalisa Malusa},
  journal= {arXiv preprint arXiv:0804.4388},
  year   = {2019}
}

Comments

31 pages, 15 figures