Homogeneous Finsler spaces with some special (α, β)-metrics

2017/12/18 by Gauree Shanker, Kirandeep Kaur, Shanker, Gauree +1 · 1 citation
Mathematics · #22E60 #53C30 #53C60 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:22E60 #msc:53C30 #msc:53C60

paper · pdf · doi:10.48550/arxiv.1712.06328

29 pages

arxiv created 2017/12/28 · arxiv updated 2017/12/29

Abstract

In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (α, β)-metric and exponential metric. Next, we deduce an explicit formula for the the S-curvature of homogeneous Finsler space with these metrics. Using this formula, we further derive the formula for mean Berwald curvature of the homogeneous Finsler space with the above mentioned metrics.

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