IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3365-d1208351.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3365/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3365/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Simona-Luiza Druta-Romaniuc, 2023. "Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle," Mathematics, MDPI, vol. 11(22), pages 1-20, November.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3365-:d:1208351. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.