On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

Yanlin Li, Manish Kumar Gupta (), Suman Sharma and Sudhakar Kumar Chaubey
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Yanlin Li: School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
Manish Kumar Gupta: Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India
Suman Sharma: Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India
Sudhakar Kumar Chaubey: Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences, P.O. Box 77, Shinas 324, Oman

Mathematics, 2023, vol. 11, issue 15, 1-13

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.

Keywords: Finsler space; Matsumoto change; homogeneous Finsler space; S-curvature; Ricci curvature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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