Geometry of warped product CR-submanifolds in Kaehler manifolds. II (Q5957811)

A \(CR\)-submanifold of a Kähler manifold is called a CR-warped product if it is given as a warped product of a holomorphic submanifold and a totally real submanifold. Let \(N_T\times_f N_\perp\) be a \(CR\)-warped product in \(\widetilde M\). Then the author proved in Part I [Monatsh. Math. 133, No. 3, 177-195 (2001; Zbl 0996.53044)] that the second fundamental form \(\sigma\) satisfies \(\|\sigma \|^2\geqq 2(\dim N_\perp)\|\nabla(\ln f)\|^2\) and he studies the equality case when \(\widetilde M=\mathbb C^n\). The purpose of this Part II is to study the equality case for \(\widetilde M=\mathbb CP^n\) and \(\widetilde M=\mathbb CH^n\).