Bull. Korean Math. Soc. 2014; 51(1): 115-128
Printed January 1, 2014
https://doi.org/10.4134/BKMS.2014.51.1.115
Copyright © The Korean Mathematical Society.
Akbar Tayebi, Tayebeh Tabatabaeifar, and Esmaeil Peyghan
University of Qom, University of Qom, Arak University
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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