On S-Curvature of Homogeneous Finsler spaces with (α, β)-metrics
Abstract
The study of curvature properties of homogeneous Finsler spaces with (α, β)-metrics is one of the central problems in Riemann-Finsler geometry. In the present paper, the existence of invariant vector fields on homogeneous Finsler spaces with square (α, β)-metric and Randers changed square (α, β)-metric is proved. Further, an explicit formula for S-curvature of these (α, β)-metrics is established. Finally, using the formula of S-curvature, the mean Berwald curvature of afore said (α, β)-metrics is calculated.
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