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On curvatures of homogeneous Finsler-Kropina space
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In Finsler geometry, one of the central problem is to study curvature properties of special class of Finsler spaces such as homogeneous-Finsler spaces. In this paper, we give an explicit formula of the S-curvature of homogeneous Finsler space with Kropina metric and proved that a homogeneous Kropina space with almost isotropic S-curvature must have vanishing S-curvature. We also derived an explicit formula of the mean Berwald curvature Eij of homogeneous Finsler-Kropina space.
Vertex Academic Press
Title: On curvatures of homogeneous Finsler-Kropina space
Description:
In Finsler geometry, one of the central problem is to study curvature properties of special class of Finsler spaces such as homogeneous-Finsler spaces.
In this paper, we give an explicit formula of the S-curvature of homogeneous Finsler space with Kropina metric and proved that a homogeneous Kropina space with almost isotropic S-curvature must have vanishing S-curvature.
We also derived an explicit formula of the mean Berwald curvature Eij of homogeneous Finsler-Kropina space.
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