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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.)

Citations:

Zbl 1060.53038
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