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Journals / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 2

Multiply Warped Product Generalized Semi-Invariant Submanifolds

SIBEL GERDAN AYDIN
HAKAN METE TASTAN
MOCTAR TRAORE
Pages
313–330
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Moreover, we establish a general inequality for such submanifolds.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We define generalized semi-invariant submanifolds in locally product Riemannian manifolds.
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Key Findings & Data:Then we study multiply warped product generalized semi-invariant submanifolds in the same structure.
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Conclusion & Impact:Moreover, we establish a general inequality for such submanifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multiply warped product submanifolds · slant distribution · invariant distribution

Abstract

We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for such a submanifold to be a multiply direct product submanifold. Moreover, we establish a general inequality for such submanifolds.

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Cite This Article

AYDIN, S. G., TASTAN, H. M., TRAORE, M. (2022). Multiply Warped Product Generalized Semi-Invariant Submanifolds. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 2, 313–330. https://ajindex.com/articles/539594

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