## On quasi Einstein manifolds.(English)Zbl 1059.53030

Summary: In this paper we give some examples of a quasi Einstein manifold $$(QE)_n$$. Next we prove the existence of $$(QE)_n$$ manifolds. Then we study some properties of a quasi Einstein manifold. Finally the hypersurfaces of a Euclidean space have been studied.

### MSC:

 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Zbl 1060.53038
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