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

Abstract

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 \cite{UM2017} 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.