## $$N(k)$$-quasi Einstein manifolds satisfying certain conditions.(English)Zbl 1154.53311

Summary: We consider $$N(k)$$-quasi Einstein manifolds satisfying the conditions $$\mathcal R(\xi,X)\cdot \mathcal P=0,\mathcal P(\xi, X)\cdot S=0$$ and $$\mathcal P(\xi,X)\cdot \mathcal P=0$$. We construct physical examples of $$N(k)$$-quasi Einstein space-times.

### MSC:

 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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### References:

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