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Curvatures on Homogeneous Generalized Matsumoto Space

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. K. Gupta & Suman Sharma & Fatemah Mofarreh & Sudhakar Kumar Chaubey, 2023. "Curvatures on Homogeneous Generalized Matsumoto Space," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1316-:d:1091857
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    Cited by:

    1. Yanlin Li & Manish Kumar Gupta & Suman Sharma & Sudhakar Kumar Chaubey, 2023. "On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space," Mathematics, MDPI, vol. 11(15), pages 1-13, August.
    2. Yanlin Li & Erhan Güler, 2023. "A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space E 2 5," Mathematics, MDPI, vol. 11(15), pages 1-12, August.

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