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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