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 product
• warped product
• pointwise semi-slant submanifold
• modified inequality
• Kaehler manifold

Supporting Institution

King Khalid University

Project Number

R.G.P.2/57/40

Thanks

The authors extend their appreciation to the deanship of scientific research at King Khalid University for funding this work through research groups program.

References

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