TY - JOUR AU - Lone, Mehraj Ahmad AU - Matsuyama, Yoshio AU - Al-Solamy, Falleh R. AU - Shahid, Mohammad Hasan AU - Jamali, Mohammed PY - 2020/09/10 Y2 - 2024/03/28 TI - Upper Bounds for Ricci Curvatures for Submanifolds in Bochner-Kaehler Manifolds JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 51 IS - 1 SE - Papers DO - 10.5556/j.tkjm.51.2020.2967 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2967 SP - 53-67 AB - <p>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<br />Chen-Ricci inequality for Kaehlerian slant submanifolds of Bochner-Kaehler manifolds.</p> ER -