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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2

On doubly warped products

Sibel GERDAN AYDIN
Hakan Mete TAŞTAN
Pages
1329–1335
Publication Date
2020-12-31
DOI
—
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AI Summary & Key Takeaways

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

As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. ..

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly.
📊
Key Findings & Data:We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product.
💡
Conclusion & Impact:As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. ..
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Doubly warped product · warped product · direct product

Abstract

We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product. As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. ..

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Cite This Article

AYDIN, S. G., TAŞTAN, H. M. (2020). On doubly warped products. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 69 - Sayı: 2, 1329–1335. https://ajindex.com/articles/746798

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