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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 2

An inequality for warped product submanifolds of a locally product Riemannian manifold

Falleh R. AL-SOLAMY
Siraj UDDİN
Pages
351–358
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The equality case is also considered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Recently, Sahin studied the warped product semi-slant submanifolds of locally product Riemannian manifolds.
📊
Key Findings & Data:In this paper, we obtain some geometric properties of such submanifolds with an example.
💡
Conclusion & Impact:The equality case is also considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:slant submanifolds · semi-slant submanifolds · mixed totally geodesic

Abstract

Recently, Sahin studied the warped product semi-slant submanifolds of locally product Riemannian manifolds. In this paper, we obtain some geometric properties of such submanifolds with an example. Also, we establish a sharp relationship between the squared norm of the second fundamental form and the warping function in terms of the slant angle. The equality case is also considered.

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Cite This Article

AL-SOLAMY, F. R., UDDİN, S. (2022). An inequality for warped product submanifolds of a locally product Riemannian manifold. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 2, 351–358. https://ajindex.com/articles/529771

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