IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i10p1805-d429122.html
   My bibliography  Save this article

Geometric Inequalities of Bi-Warped Product Submanifolds of Nearly Kenmotsu Manifolds and Their Applications

Author

Listed:
  • Akram Ali

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

  • Fatemah Mofarreh

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

Abstract

The present paper aims to construct an inequality for bi-warped product submanifolds in a special class of almost metric manifolds, namely nearly Kenmotsu manifolds. As geometric applications, some exceptional cases that generalized several other inequalities are discussed. We also deliberate some applications in the context of mathematical physics and derive a new relation between the Dirichlet energy and the second fundamental form. Finally, we present a constructive remark at the end of this paper which shows the motive of the study.

Suggested Citation

  • Akram Ali & Fatemah Mofarreh, 2020. "Geometric Inequalities of Bi-Warped Product Submanifolds of Nearly Kenmotsu Manifolds and Their Applications," Mathematics, MDPI, vol. 8(10), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1805-:d:429122
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/10/1805/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/10/1805/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ali H. Alkhaldi & Akram Ali, 2019. "Classification of Warped Product Submanifolds in Kenmotsu Space Forms Admitting Gradient Ricci Solitons," Mathematics, MDPI, vol. 7(2), pages 1-11, January.
    2. Rifaqat Ali & Ali H. Alkhaldi & Akram Ali & Wan Ainun Mior Othman, 2019. "The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
    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. Nadia Alluhaibi & Fatemah Mofarreh & Akram Ali & Wan Ainun Mior Othman, 2020. "Geometric Inequalities of Warped Product Submanifolds and Their Applications," Mathematics, MDPI, vol. 8(5), pages 1-11, May.

    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:8:y:2020:i:10:p:1805-:d:429122. 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.