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Projectively flat Finsler metrics with orthogonal invariance

Volume 107 / 2013

Libing Huang, Xiaohuan Mo Annales Polonici Mathematici 107 (2013), 259-270 MSC: Primary 53B40; Secondary 58E20. DOI: 10.4064/ap107-3-3

Abstract

We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.

Authors

  • Libing HuangSchool of Mathematical Sciences
    Nankai University
    Tianjin 300071, P.R. China
    e-mail
  • Xiaohuan MoKey Laboratory of Pure and Applied Mathematics
    School of Mathematical Sciences
    Peking University
    Beijing 100871, P.R. China
    e-mail

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