Abstract
The object of the present paper is to study the M-projectively flat Riemannian manifold. It is shown that the M-projectively flat Riemannian manifold is an Einstein manifold. In addition, some theorems about the energy-momentum ten-sor satisfying the Einstein field equations with a cosmological constant of the M-projectively flat spacetime are proved. AMS 2010 Subject Classification: 53C15, 53C25, 53B15, 53B20.
| Original language | English |
|---|---|
| Pages (from-to) | 363-370 |
| Number of pages | 8 |
| Journal | Mathematical Reports |
| Volume | 14 |
| Issue number | 4 |
| Publication status | Published - 2012 |
Keywords
- Conformal killing vector field
- Energy-momentum tensor
- Killing vector field
- M-projective curvature tensor
- Quadratic conformal killing tensor
- Quadratic killing tensor
- Symmetry inheritance property