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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
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