Generic Warped Product Submanifolds in a Kaehler Manifold


K.A. Khan, Shahid Ali, Nargis Jamal




In this paper we have shown that there do not exist proper warped product submanifolds of the type $N\times_fN_T$ and $N_T\times_fN$ where $N_T$ is an invariant and $N$ is any real non-anti invariant submanifold of a Kaehler manifold. We thus generalize the results of B. Sahin [10] who projected same results for a restricted class, the class of warped product submanifolds $N_\theta\times_fN_T$ and $N_T\times_fN_\theta$.