Curvatures on Homogeneous Generalized Matsumoto Space-Reference-Cited by-同舟云学术

Curvatures on Homogeneous Generalized Matsumoto Space

Published:2023-03-09 Issue:6 Volume:11 Page:1316
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Gupta M. K.¹^ORCID,Sharma Suman¹^ORCID,Mofarreh Fatemah²^ORCID,Chaubey Sudhakar Kumar³^ORCID

Affiliation:

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

2. Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia

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

Abstract

The curvature characteristics of particular classes of Finsler spaces, such as homogeneous Finsler spaces, are one of the major issues in Finsler geometry. In this paper, we have obtained the expression for S-curvature in homogeneous Finsler space with a generalized Matsumoto metric and demonstrated that the homogeneous generalized Matsumoto space with isotropic S-curvature has to vanish the S-curvature. We have also derived the expression for the mean Berwald curvature by using the formula of S-curvature.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/6/1316/pdf

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