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

Year 2019, Volume: 48 Issue: 2, 351 - 358, 01.04.2019

Falleh R. Al-solamy Siraj Uddin

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

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