Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure

This paper studies the contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure. Some Characterization of the existence of these warped product submanifolds are also obtained. We illustrate that the warping function is a harmonic function under certain conditions. Moreover, a sharp estimate for the squared norm of the second fundamental form is investigated, and the equality case is also discussed. The results obtained in this paper generalize the results that have appeared in [I. Hasegawa, I. Mihai, Geom. Dedicata, 102 (2003), 143–150], [I. Mihai, Geom. Dedicata, 109 (2004), 165–173], and [M. Atceken, Hacet. J. Math. Stat., 44 (2015), 23–32].