Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds

Abstract

In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the second fundamental form in terms of the warping function. The equality case is also considered.

Mathematics Subject Classification (2010): 53C25, 53C40, 53C42, 53B25.

Keywords: Warped products, slant submanifolds, pseudo-slant submanifolds, mixed totally geodesic, Kenmotsu manifolds