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

Authors : Ali H. ALKHALDİ, Akram ALİ, Mehmet Akif AKYOL

Pages : 634-646

Doi:10.15672/hujms.585465

View : 18 | Download : 4

Publication Date : 2021-06-07

Article Type : Research Paper

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 product, warped product, pointwise semi slant submanifold, modified inequality, Kaehler manifold