On the Ricci curvature of a homogeneous Finsler space with generalized m-Kropina metric

Gauree Shanker, Jaspreet Kaur

Abstract


In this paper, we consider homogeneous Finsler spaces with generalized m-Kropina metric. First, we study the formula for the Ricci curvature of a homogeneous Finsler space with aforesaid metric. Further, we derive the formula of the Ricci curvature for generalized m-Kropina metric having vanishing S-curvature. Finally, we derive the formula for the projective Ricci curvature of generalized m-Kropina Finsler metric.

Keywords


Ricci curvature, homogeneous Finsler spaces, generalized m-Kropina metric, S-curvature, projective Ricci curvature

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