IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i23p4717-d1284811.html
   My bibliography  Save this article

Bounds for Eigenvalues of q -Laplacian on Contact Submanifolds of Sasakian Space Forms

Author

Listed:
  • Yanlin Li

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

  • Fatemah Mofarreh

    (Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia)

  • Abimbola Abolarinwa

    (Department of Mathematics, University of Lagos, Akoka, Lagos 101017, Nigeria)

  • Norah Alshehri

    (Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia)

  • Akram Ali

    (Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia)

Abstract

This study establishes new upper bounds for the mean curvature and constant sectional curvature on Riemannian manifolds for the first positive eigenvalue of the q -Laplacian. In particular, various estimates are provided for the first eigenvalue of the q -Laplace operator on closed orientated ( l + 1 ) -dimensional special contact slant submanifolds in a Sasakian space form, M ˜ 2 k + 1 ( ϵ ) , with a constant ψ 1 -sectional curvature, ϵ . From our main results, we recovered the Reilly-type inequalities, which were proven before this study.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4717-:d:1284811
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/23/4717/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/23/4717/
    Download Restriction: no
    ---><---

    References listed on IDEAS

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

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

    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:23:p:4717-:d:1284811. 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.