Volume 31 • Number 2 • 2008   • Ricci Generalized Pseudo-Parallel Kaehlerian Submanifolds in Complex Space Forms Ahmet Yildiz and Cengizhan Murathan Abstract. Let Mm(c) be a complex m-dimensional space form of holomorphic sectional curvature c and M n be a complex n-dimensional Kaehlerian submanifold of Mm(c). We prove that if M n is Ricci generalized pseudo-parallel, then either M n is totally geodesic, or ||h||2 = -2 ⁄ 3 (Lτ- 1 ⁄ 2(n+2)c), or at some point x of M n, ||h||2 (x) > -2 ⁄ 3 (L(x)τ(x) - 1 ⁄ 2(n+2)c). 2000 Mathematics Subject Classification: Primary 53B20, 53B25, 53B50; Secondary 53C15. Full text: PDF