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

Yıl 2021, Cilt: 50 Sayı: 3, 634 - 646, 07.06.2021

Ali H. Alkhaldi Akram Ali , Mehmet Akif Akyol

https://doi.org/10.15672/hujms.585465

Cited By: 1

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

King Khalid University

Proje Numarası

R.G.P.2/57/40

Teşekkür

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

Kaynakça

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