In this paper, we study the class of semi-C-reducible Finsler manifolds. Under a condition, we prove that every semi-C-reducible Finsler spaces with a semi-P-reducible metric has constant characteristic scalar along Finslerian geodesics or reduces to a Landsberg metric. By this fact, we characterize the class of semi-P-reducible spaces equipped with an (α, β)-metric. More precisely, we proved that such metrics are Berwaldian B= 0,or have vanishing S-curvature S= 0 or satisfy a well-known ODE. This yields an extension of Tayebi-Najafi’s classification for 3-dimensional (α, β)-metric of Landsberg-type.
Heydari, A. (2020). On semi C-reducible Finsler spaces. Journal of Finsler Geometry and its Applications, 1(2), 130-142. doi: 10.22098/jfga.2020.1246
MLA
Abbas Heydari. "On semi C-reducible Finsler spaces". Journal of Finsler Geometry and its Applications, 1, 2, 2020, 130-142. doi: 10.22098/jfga.2020.1246
HARVARD
Heydari, A. (2020). 'On semi C-reducible Finsler spaces', Journal of Finsler Geometry and its Applications, 1(2), pp. 130-142. doi: 10.22098/jfga.2020.1246
VANCOUVER
Heydari, A. On semi C-reducible Finsler spaces. Journal of Finsler Geometry and its Applications, 2020; 1(2): 130-142. doi: 10.22098/jfga.2020.1246
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