An inequality for warped product submanifolds of a locally product Riemannian manifold

Authors : Falleh R. Al-solamy, Siraj Uddin

Pages : 351-358

View : 16 | Download : 8

Publication Date : 2019-04-01

Article Type : Research

Abstract :Recently, Sahin studied the warped product semi-slant submanifolds of locally product Riemannian manifolds. In this paper, we obtain some geometric properties of such submanifolds with an example. Also, we establish a sharp relationship between the squared norm of the second fundamental form and the warping function in terms of the slant angle. The equality case is also considered.
Keywords : slant submanifolds, semi-slant submanifolds, mixed totally geodesic, warped product semi-slant submanifolds, locally product Riemannian manifolds