Curvatures on Homogeneous Generalized Matsumoto Space

被引：2

作者：

Gupta, M. K. ^{[1
]}

Sharma, Suman ^{[1
]}

Mofarreh, Fatemah ^{[2
]}

Chaubey, Sudhakar Kumar ^{[3
]}

机构：

[1] Guru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, India

[2] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11546, Saudi Arabia

[3] Univ Technol & Appl Sci, Dept Informat Technol, Sect Math, POB 77, Shinas 324, Oman

来源：

MATHEMATICS | 2023年 / 11卷 / 06期

关键词：

Minkowski space; Finsler space; homogeneous space; isometry group; Lie group; Matsumoto change; FINSLER-SPACE; HYPERSURFACE; ISOMETRIES;

D O I：

10.3390/math11061316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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