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On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

Author

Listed:
  • Yanlin Li

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
    Key Laboratory of Cryptography of Zhejiang Province, Hangzhou Normal University, Hangzhou 311121, China)

  • Manish Kumar Gupta

    (Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India)

  • Suman Sharma

    (Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India)

  • 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 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.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3365-:d:1208351
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. Yanlin Li & Fatemah Mofarreh & Abimbola Abolarinwa & Norah Alshehri & Akram Ali, 2023. "Bounds for Eigenvalues of q -Laplacian on Contact Submanifolds of Sasakian Space Forms," Mathematics, MDPI, vol. 11(23), pages 1-14, November.
    2. Simona-Luiza Druta-Romaniuc, 2023. "Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle," Mathematics, MDPI, vol. 11(22), pages 1-20, November.

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