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Acta Mathematica Hungarica

, Volume 149, Issue 2, pp 286–296 | Cite as

Generalized P-reducible Finsler metrics

  • A. Heydari
  • E. PeyghanEmail author
  • A. Tayebi
Article

Abstract

We study a class of Finsler metrics which contains the class of P-reducible metrics. Finsler metrics in this class are called generalized P-reducible metrics. We consider generalized P-reducible metrics with scalar flag curvature and find a condition under which these metrics reduce to C-reducible metrics. This generalizes Matsumoto’s theorem, which describes the equivalency of C-reducibility and P-reducibility on Finsler manifolds with scalar curvature. Then we show that generalized P-reducible metrics with vanishing stretch curvature are C-reducible.

Key words and phrases

C-reducible metric P-reducible metric flag curvature 

Mathematics Subject Classification

53C60 53C25 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2016

Authors and Affiliations

  1. 1.Faculty of Science, Department of MathematicsModares UniversityTehranIran
  2. 2.Department of Mathematics, Faculty of ScienceArak UniversityArakIran
  3. 3.Faculty of Science, Department of MathematicsUniversity of QomQomIran

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