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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

WARPED PRODUCT SEMI-INVARIANT SUBMANIFOLDS IN LOCALLY DECOMPOSABLE RIEMANNIAN MANIFOLDS

Mehmet ATÇEKEN
Pages
401–407
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

After that, we investigate warped product semiinvariant submanifolds in a locally decomposable Riemannian manifold which satisfy the equality case of the inequality and obtain some new results.

📌 3 Key Takeaways

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Objective & Hypothesis:Warped product semi-invariant submanifolds were defined and studied in locally Riemannian product manifolds in (K.
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Key Findings & Data:Matsumoto, On submanifolds of locally product Riemannian manifolds, TRU Math. 18 (2), 145–157, 1982).
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Conclusion & Impact:After that, we investigate warped product semiinvariant submanifolds in a locally decomposable Riemannian manifold which satisfy the equality case of the inequality and obtain some new results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-invariant submanifold · Warped product semi-invariant submanifold · Locally decomposable Riemannian manifold

Abstract

Warped product semi-invariant submanifolds were defined and studied in locally Riemannian product manifolds in (K. Matsumoto, On submanifolds of locally product Riemannian manifolds, TRU Math. 18 (2), 145–157, 1982). In this paper, we go on to study warped product semi-invariant submanifolds in locally decomposable Riemannian manifolds. We prove several fundamental properties of warped product semi-invariant submanifolds, and establish a general inequality for a warped product semi-invariant submanifold in a locally decomposableRiemannian manifold. After that, we investigate warped product semiinvariant submanifolds in a locally decomposable Riemannian manifold which satisfy the equality case of the inequality and obtain some new results.

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Cite This Article

ATÇEKEN, M. (2022). WARPED PRODUCT SEMI-INVARIANT SUBMANIFOLDS IN LOCALLY DECOMPOSABLE RIEMANNIAN MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 401–407. https://ajindex.com/articles/530604

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References (7)

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