Chen's improved inequality for pointwise hemi-slant warped products in Kaehler manifolds


Monia F Naghi, Mića S Stanković, Fatimah Alghamdi




Recently, B.-Y. Chen discovered a technique to find the relation between second fundamental form and the warping function of warped product submanifolds. In this paper, we extend our further study of [24] by giving non-trivial examples of warped product pointwise hemi-slant submanifolds. Finally, we establish a sharp estimation for the squared norm of the second fundamental form ‖h‖2 in terms of the warping function f . The equality case is also investigated