Abstract
A submanifold M of an almost Hermitian manifold ((M) over tilde, g, J) is called slant, if for each point p is an element of M and 0 not equal X is an element of TpM the angle between JX and TpM is constant (see Chen in Bull Aust Math Soc 41:135-117, 1990). Later, Carriazo (in: Proceedings of the ICRAMS 2000, Kharagpur, 2000) defined the notion of hi -slant immersions as au extension of slant immersions. In this paper, we study warped product hi -slant submanifolds in Kaehler manifolds and provide some examples of warped product bi-slant submanifolds in some complex Euclidean spaces. Our main theorem states that every warped product hi -slant submanifold in a Kaehler manifold is either a Riemannian product or a warped product hemi-slant submanifold.