Upper bounds for Ricci curvatures for submanifolds in Bochner-Kaehler manifolds
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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