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

Authors

  • Gauree Shanker Central University of Punjab, Bathinda
  • Jaspreet Kaur Central University of Punjab, Bathinda

Keywords:

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

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.

Author Biographies

Gauree Shanker, Central University of Punjab, Bathinda

Professor in department of Mathematics and Statistics, Central University of Punjab, Bathinda

Jaspreet Kaur, Central University of Punjab, Bathinda

Research scholar in department of Mathematics and Statistics, Central University of Punjab, Bathinda

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Published

2023-11-05

Issue

Vol. 17

Section

Vol. 17, No. 7, (2023)

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