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Periodica Mathematica Hungarica

, Volume 67, Issue 2, pp 155–166 | Cite as

On a class of projectively flat Finsler metrics with weakly isotropic flag curvature

  • Guangzu Chen
  • Xinyue Cheng
  • Mingao Yuan
Article
  • 350 Downloads

Abstract

In this paper, we study a class of Finsler metrics defined by a Riemannian metric and 1-form. We classify those metrics which are projectively flat with weakly isotropic flag curvature.

Key words and phrases

projectively flat Finsler metric (α, β)-metric the flag curvature 

Mathematics subject classification number

53B40 53C60 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2013

Authors and Affiliations

  1. 1.Department of MathematicsTongji UniversityShanghaiP.R. China
  2. 2.School of Mathematics and StatisticsChongqing University of TechnologyChongqingP.R. China

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