We show in this paper that many well-known theorems about the geometry of warped product submanifolds of Kaehler manifolds and itself nearly Kaehler manifolds can be generalized to CR-slant warped products in nearly Kaehler manifolds.

We study bi-warped product submanifolds of nearly Kaehler manifolds which are the natural extension of warped products. We prove that every bi-warped product submanifold of the formKaehler manifold satisfies the following sharp inequality:where p = dim M ⊥ , q = 1 2 dim M θ , and f 1 , f 2 are smooth positive functions on M T . We also investigate the equality case of this inequality. Further, some applications of this inequality are also given.

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