Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735208 | Journal of Geometry and Physics | 2012 | 13 Pages |
Abstract
In this paper, we study a class of conformal mappings between two semi-Riemannian manifolds and obtain the corresponding invariant under this mapping. In particular, we proved that this type of conformal mapping keeps a generalized quasi-Einstein manifold unchanged. Moreover, the geometrical meaning of this conformal mapping is discussed and some features of the semi-Riemannian manifolds admitting this class of conformal mapping are also showed. Finally, we obtain a sufficient condition for a CË recurrent manifold to be a quasi-Einstein manifold.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Fengyun Fu, Xiaoping Yang, Peibiao Zhao,