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Homogeneous Finsler spaces with exponential metric

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Abstract We prove the existence of an invariant vector field on a homogeneous Finsler space with exponential metric, and we derive an explicit formula for the S-curvature of a homogeneous… Click to show full abstract

Abstract We prove the existence of an invariant vector field on a homogeneous Finsler space with exponential metric, and we derive an explicit formula for the S-curvature of a homogeneous Finsler space with exponential metric. Using this formula, we obtain a formula for the mean Berwald curvature of such a homogeneous Finsler space.

Keywords: spaces exponential; finsler spaces; homogeneous finsler; exponential metric; finsler; finsler space

Journal Title: Advances in Geometry
Year Published: 2020

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