Abstract
As it is known, Einstein manifolds play an important role in geometry as well as in general relativity. Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds. In this work, we investigate conformal mappings of quasi-Einstein manifolds. Considering this mapping, we examine some properties of these manifolds. After that, we also study some special vector fields under this mapping of these manifolds and some theorems about them are proved.
| Original language | English |
|---|---|
| Pages (from-to) | 525-534 |
| Number of pages | 10 |
| Journal | Filomat |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015, University of Nis. All Rights Reserved.
Keywords
- (Ric)-vector field
- Codazzi tensor
- Concircular vector field
- Quasi-Einstein manifold