• Title, Summary, Keyword: almost isotropic flag curvature

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ON THE SECOND APPROXIMATE MATSUMOTO METRIC

  • Tayebi, Akbar;Tabatabaeifar, Tayebeh;Peyghan, Esmaeil
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.115-128
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    • 2014
  • In this paper, we study the second approximate Matsumoto metric F = ${\alpha}+{\beta}+{\beta}^2/{\alpha}+{\beta}^3/{\alpha}^2$ on a manifold M. We prove that F is of scalar flag curvature and isotropic S-curvature if and only if it is isotropic Berwald metric with almost isotropic flag curvature.