Multiply warped products with compact Einstein manifolds
Quaestiones Mathematicae, ss.1-9, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2020
- Doi Numarası: 10.2989/16073606.2020.1746933
- Dergi Adı: Quaestiones Mathematicae
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-9
- Anahtar Kelimeler: compact manifold, Einstein manifold, Multiply warped product manifold
- Yıldız Teknik Üniversitesi Adresli: Hayır
Özet
We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive. It is also found that there does not exist non-trivial connected Einstein multiply warped product manifolds with compact base or compact fibres.