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arXiv · 2103.02887

On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric

Gauree Shanker·Jaspreet Kaur·Seema
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Abstract

In this paper, first, we give an explicit formula for the flag curvature of a homogeneous Finsler space with generalized $m$-Kropina metric. Then, we show that, under a mild condition, the two definitions of naturally reductive homogeneous Finsler space are equivalent for afore said metric. Finally, we study the flag curvature of naturally reductive homogeneous Finsler spaces with generalized $m$-Kropina metric.

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Gauree Shanker, Jaspreet Kaur, Seema. 2021-03-04. On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric. https://arxiv.org/abs/2103.02887

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