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Homogeneous Finsler space with infinite series $(\alpha, \beta)$-metric. (arXiv:1712.06328v1 [math.DG])

来源于:arXiv
In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series $(\alpha, \beta)$-metric. Next, we deduce an explicit formula for the the $S$-curvature of homogeneous Finsler space with infinite series $(\alpha, \beta)$-metric. Using this formula, we further derive the formula for mean Berwald curvature of the homogeneous Finsler space with this metric. 查看全文>>