On isotropic Berwald metrics

Volume 103 / 2012

Akbar Tayebi, Behzad Najafi Annales Polonici Mathematici 103 (2012), 109-121 MSC: Primary 53B40; Secondary 53C60. DOI: 10.4064/ap103-2-1

Abstract

We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes of isotropic Berwald metrics.

Authors

  • Akbar TayebiFaculty of Science
    Department of Mathematics
    Qom University
    Qom, Iran
    e-mail
  • Behzad NajafiFaculty of Science, Department of Mathematics
    Shahed University of Tehran
    Tehran, Iran
    e-mail

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