On the second approximate matsumoto metric

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Abstract

In this paper, we study the second approximate Matsumoto metric F = α+β+β2/α+β3/α2 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. © 2014 The Korean Mathematical Society.

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Tayebi, A., Tabatabaeifar, T., & Peyghan, E. (2014). On the second approximate matsumoto metric. Bulletin of the Korean Mathematical Society, 51(1), 115–128. https://doi.org/10.4134/BKMS.2014.51.1.115

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