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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

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

Ali H. Alkhaldi
Akram ALİ
Mehmet Akif AKYOL
Pages
634–646
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we provide necessary and sufficient conditions that satisfy inequalities' equalities.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data:Math. 2013] in terms of intrinsic and extrinsic invariants.
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Conclusion & Impact:Finally, we provide necessary and sufficient conditions that satisfy inequalities' equalities.
🔬Design:Research Article
📍Scope:2013 Verileri
⚙️Variables:CR-warped product · warped product · pointwise semi-slant submanifold

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.

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Cite This Article

Alkhaldi, A. H., ALİ, A., AKYOL, M. A. (2022). Some remarks on a family of warped product pointwise semi-slant submanifolds of Kaehler manifold. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 634–646. https://ajindex.com/articles/529514

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