Upper Bounds for Ricci Curvatures for Submanifolds in Bochner-Kaehler Manifolds


  • Mehraj Ahmad Lone NIT Srinagar, India
  • Yoshio Matsuyama Department of Mathematics, Chuo University, Faculity of Sciences and Engineering, 1-13-27 Kasuga, Bunkyo-Ku, Tokyo 112-8551, Japan
  • Falleh R. Al-Solamy Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Mohammad Hasan Shahid Department of Mathematics, Jamia Millia Islamia, New Delhi-110 025, India.
  • Mohammed Jamali Department of Mathematics, Al-Falah University, Haryana-121004, India.




Bochner-Kaehler manifold, Einstein manifold, Ricci curvature, slant submanifolds.


Chen established the relationship between the Ricci curvature and the squared norm of mean curvature vector for submanifolds of Riemannian space form with arbitrary codimension known as Chen-Ricci inequality. Deng improved the inequality for Lagrangian submanifolds in complex space form by using algebraic technique. In this paper, we establish the same inequalities for different submanifolds of Bochner-Kaehler manifolds. Moreover, we obtain improved
Chen-Ricci inequality for Kaehlerian slant submanifolds of Bochner-Kaehler manifolds.


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How to Cite

Lone, M. A., Matsuyama, Y., Al-Solamy, F. R., Shahid, M. H., & Jamali, M. (2020). Upper Bounds for Ricci Curvatures for Submanifolds in Bochner-Kaehler Manifolds. Tamkang Journal of Mathematics, 51(1), 53–67. https://doi.org/10.5556/j.tkjm.51.2020.2967