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On compact Einstein doubly warped product manifolds
- Source :
- Tamkang Journal of Mathematics. 49:267-275
- Publication Year :
- 2018
- Publisher :
- Tamkang Journal of Mathematics, 2018.
-
Abstract
- In this paper, the non-existence of connected, compact Einstein doubly warped product semi-Riemannian manifold with non-positive scalar curvature is proved. It is also shown that there does not exist non-trivial connected Einstein doubly warped product semi-Riemannian manifold with compact base $B$ or fibre $F$.
- Subjects :
- Applied Mathematics
General Mathematics
010102 general mathematics
Einstein manifold
Base (topology)
01 natural sciences
Manifold
010101 applied mathematics
symbols.namesake
Product (mathematics)
symbols
Mathematics::Differential Geometry
0101 mathematics
Einstein
Scalar curvature
Mathematical physics
Mathematics
Subjects
Details
- ISSN :
- 20739826 and 00492930
- Volume :
- 49
- Database :
- OpenAIRE
- Journal :
- Tamkang Journal of Mathematics
- Accession number :
- edsair.doi...........b0c739cb3ce0d804fd3b587075f3f598