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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Volume: 69 Issue: 2

On doubly warped products

Sibel Gerdan Aydın(İSTANBUL ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0001-5278-6066
Hakan Mete Taştan(İSTANBUL ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-0773-9305
Sayfa
—
Yayın Tarihi
2020-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

🎯
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:Research Article
📍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

Aydın, S. G., Taştan, H. M. (2020). On doubly warped products. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 2. https://doi.org/10.31801/cfsuasmas.635048

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Kaynakça (15)

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