Journal article

Some remarks on a family of warped product pointwise semi-slant submanifolds of Kaehler manifold

Abstract

The purpose of this paper is to provide the complete classifications of the second fundamental form inequality for a warped product pointwise semi-slant submanifold in a Kaehler manifold which was obtained by Şahin [Th. 5.2, Warped product pointwise semi-slant submanifold of Kaehler manifold, Port. Math. 2013] in terms of intrinsic and extrinsic invariants. In this paper, we give some conditions that are not addressed or considered in the cited paper mentioned above. Finally, we provide necessary and sufficient conditions that satisfy inequalities` equalities.

Keywords

CR warped productwarped productpointwise semi slant submanifoldmodified inequalityKaehler manifold

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