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Projectively Flat Fourth Root Finsler Metrics

  Published:2011-03-31
 Printed: Mar 2012
  • Benling Li,
    Department of Mathematics, Ningbo University, Ningbo, Zhejiang Province 315211, P.R. China
  • Zhongmin Shen,
    Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province 310027, P.R. China
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Abstract

In this paper, we study locally projectively flat fourth root Finsler metrics and their generalized metrics. We prove that if they are irreducible, then they must be locally Minkowskian.
Keywords: projectively flat, Finsler metric, fourth root Finsler metric projectively flat, Finsler metric, fourth root Finsler metric
MSC Classifications: 53B40 show english descriptions Finsler spaces and generalizations (areal metrics) 53B40 - Finsler spaces and generalizations (areal metrics)
 

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