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• W3101129404 abstract "The study of curvature properties of homogeneous Finsler spaces with $(alpha, beta)$-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 $(alpha, beta)$-metric and Randers changed square $(alpha, beta)$-metric is proved. Further, an explicit formula for $S$-curvature of these $(alpha, beta)$-metrics is established. Finally, using the formula of $S$-curvature, the mean Berwald curvature of afore said $(alpha, beta)$-metrics is calculated." @default.
• W3101129404 created "2020-11-23" @default.
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• W3101129404 date "2020-01-22" @default.
• W3101129404 modified "2023-10-08" @default.
• W3101129404 title "On S-curvature of a homogeneous Finsler space with square metric" @default.
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• W3101129404 doi "https://doi.org/10.1142/s021988782050019x" @default.
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