A CR-slant warped product is considered a generalization of CR-warped product. It was firstly introduced and studied in the field Kaehler geometry. In this paper, we study products nearly trans-Sasakian manifolds. We obtain general inequality related to second fundamental form warping function such products. The equality case discussed.

Firstly we provide new characterizations for doubly warped product manifolds. Then consider several types of gradient solitons such as Riemann, Ricci, Yamabe and conformal, examine the effect a soliton on to its factor Finally, investigate concircularly flat conharmonically cases products.