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arxiv: 1802.00344 · v1 · pith:JSXLIOBFnew · submitted 2018-01-31 · 🧮 math.DG

On the geodesics of homogeneous Finsler spaces with some special (α, β)-metrics

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keywords homogeneousfinslergeodesicgeodesicsspacespacesvectoralpha
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In this paper, we study geodesics and geodesic vectors for homogeneous exponential Finsler space and homogeneous infinite series Finsler space. Further, we find necessary and sufficient condition for a non-zero vector in these homogeneous spaces to be a geodesic vector.

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