Multiply warped products with compact Einstein manifolds

Karaca F.

Quaestiones Mathematicae, pp.1-9, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Doi Number: 10.2989/16073606.2020.1746933
  • Journal Name: Quaestiones Mathematicae
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1-9
  • Keywords: compact manifold, Einstein manifold, Multiply warped product manifold
  • Yıldız Technical University Affiliated: No

Abstract

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.