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The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds

Author

Listed:
  • Rifaqat Ali

    (Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia)

  • Ali H. Alkhaldi

    (Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia)

  • Akram Ali

    (Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia)

  • Wan Ainun Mior Othman

    (Institute of Mathematical Sciences, University Malaya, Kuala Lumpur 50603, Malaysia)

Abstract

The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant submanifold of the type M = M ⊥ × f M θ , in a nearly cosymplectic manifold, in terms of the warping function and the symmetric bilinear form h which is known as the second fundamental form. The equality cases are also discussed. As its application, we establish a bound for the first non-zero eigenvalue of the warping function whose base manifold is compact.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:162-:d:204911
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    References listed on IDEAS

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    1. Siraj Uddin & Bernardine R. Wong & A. A. Mustafa, 2012. "Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, July.
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    Cited by:

    1. 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.

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