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Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds

Author

Listed:
  • Siraj Uddin

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Bang-Yen Chen

    (Department of Mathematics, Michigan State University, East Lansing, MI 8824-1027, USA)

  • Rawan Bossly

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Mathematics, College of Science, Jazan University, Jazan 82817, Saudi Arabia)

Abstract

Recently, we studied CR-slant warped products B 1 × f M ⊥ , where B 1 = M T × M θ is the Riemannian product of holomorphic and proper slant submanifolds and M ⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B 2 × f M θ , where B 2 = M T × M ⊥ is a CR-product of a nearly Kaehler manifold and establish Chen’s inequality for the squared norm of the second fundamental form. Some special cases of Chen’s inequality are given.

Suggested Citation

  • Siraj Uddin & Bang-Yen Chen & Rawan Bossly, 2023. "Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds," Mathematics, MDPI, vol. 11(12), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2600-:d:1165405
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