On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
Yanlin Li, M. K. Gupta, Suman Sharma, Sudhakar Kumar Chaubey
Abstract
The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived an expression of Ricci curvature for the homogeneous generalized Matsumoto change. Moreover, we have deduced the expression of Ricci curvature for the aforementioned space with vanishing the S-curvature. These findings contribute significantly to understanding the complex nature of Finsler spaces and their curvature properties.
Topics & Concepts
CurvatureRicci curvatureMathematicsHomogeneousScalar curvaturePure mathematicsMathematical analysisSpace (punctuation)Riemann curvature tensorExpression (computer science)GeometryComputer scienceCombinatoricsOperating systemProgramming languageAdvanced Differential Geometry Research