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Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 4

Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold

Hakan Mete TAŞTAN
Pages
453–466
Publication Date
2015-08-13
DOI
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AI Summary & Key Takeaways

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

The equality case is also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold.
📊
Key Findings & Data:We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product.
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Conclusion & Impact:The equality case is also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Locally product manifold · warped product submanifold · skew semi-invariant submanifold

Abstract

We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.

Özet

We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.

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Cite This Article

TAŞTAN, H. M. (2015). Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold. Turkish Journal of Mathematics, Cilt: 39 - Sayı: 4, 453–466. https://ajindex.com/articles/723302

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References (7)

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