On the second approximate Matsumoto metric
Bull. Korean Math. Soc. 2014 Vol. 51, No. 1, 115-128
https://doi.org/10.4134/BKMS.2014.51.1.115
Printed January 1, 2014
Akbar Tayebi, Tayebeh Tabatabaeifar, and Esmaeil Peyghan
University of Qom, University of Qom, Arak University
Abstract : 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.
Keywords : isotropic Berwald curvature, S-curvature, almost isotropic flag curvature
MSC numbers : 53C60, 53C25
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