Curvatures on Homogeneous Generalized Matsumoto Space

M. K. Gupta, Suman Sharma, Fatemah Mofarreh and Sudhakar Kumar Chaubey ()
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M. K. Gupta: Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India
Suman Sharma: Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India
Fatemah Mofarreh: Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia
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 6, 1-11

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.

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

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