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Dergiler / 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
Sayfa
1329–1335
Yayın Tarihi
2020-12-31
DOI
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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 Maddede Bu Makale

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Amaç & Hipotez:We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly.
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Temel Bulgular & Veri:We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product.
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Sonuç & Katkı:As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4. ..
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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