Department Of Mathematics And Statistics

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Author: search.filters.author.Shanker G.Subject: search.filters.subject.mean Berwald curvature

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    On S -curvature of a homogeneous Finsler space with square metric
    (World Scientific Publishing Co. Pte Ltd, 2020) Shanker G.; Rani S.
    The study of curvature properties of homogeneous Finsler spaces with (?,?)-metrics is one of the central problems in Riemann-Finsler geometry. In this paper, the existence of invariant vector fields on a homogeneous Finsler space with square metric is proved. Further, an explicit formula for S-curvature of a homogeneous Finsler space with square metric is established. Finally, using the formula of S-curvature, the mean Berwald curvature of aforesaid (?,?)-metric is calculated.