Ricci Generalized Pseudo-Parallel Kaehlerian Submanifolds in Complex Space Forms

Let M^˜ m(c) be a complex m-dimensional space form of holomorphic sectional curvature c and Mn be a complex n-dimensional Kaehlerian submanifold of M^˜ m(c). We prove that if M^n is Ricci generalized pseudo-parallel, then either Mn is totally geodesic, or vert hvert ^2 = −2 /3 (Ltau − 1 /2 (n+2)c), or at some point x of Mn,vert h vert^2 (x) −2/ 3 (L(x) (tau) − 1/2 (n + 2)c).