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Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

Author

Listed:
  • Ali H. Alkhaldi

    (Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
    All authors contributed equally to this work.)

  • Pişcoran Laurian-Ioan

    (North University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, 430122 Baia Mare, Romania
    All authors contributed equally to this work.)

  • Izhar Ahmad

    (Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
    All authors contributed equally to this work.)

  • Akram Ali

    (Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
    All authors contributed equally to this work.)

Abstract

In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold M n in a complex projective space is presented. Some characterizations of the base N T of M n are offered as applications. We also look at whether the base N T is isometric to the Euclidean space R p or the Euclidean sphere S p , subject to some constraints on the second fundamental form and warping function.

Suggested Citation

  • Ali H. Alkhaldi & Pişcoran Laurian-Ioan & Izhar Ahmad & Akram Ali, 2022. "Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations," Mathematics, MDPI, vol. 10(2), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:244-:d:723964
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