On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space-Reference-Cited by-同舟云学术

On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

Published:2023-08-01 Issue:15 Volume:11 Page:3365
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Li Yanlin¹²^ORCID,Gupta Manish Kumar³^ORCID,Sharma Suman³^ORCID,Chaubey Sudhakar Kumar⁴^ORCID

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

2. Key Laboratory of Cryptography of Zhejiang Province, Hangzhou Normal University, Hangzhou 311121, China

3. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India

4. Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences, P.O. Box 77, Shinas 324, Oman

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.

Funder

National Natural Science Foundation of China

Zhejiang Provincial Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/15/3365/pdf

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