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On quasi Einstein manifolds

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TLDR
The hypersurfaces of a Euclidean space have been studied and the existence of (QE)n manifolds is proved.
Abstract
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.

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Citations
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Journal ArticleDOI

Cosmological perfect-fluids in f(R) gravity

TL;DR: In this article, an n-dimensional generalized Robertson-Walker space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress energy tensor for any f(R) gravity model.
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Generalized Robertson-Walker spacetimes — A survey

TL;DR: Generalized Robertson-Walker spacetimes extend the notion of Robertson and Walker spacetime by allowing for spatial non-homogeneity as discussed by the authors, with Chen's characterization of the spatial nonhomogeneity.
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Weakly z symmetric manifolds

TL;DR: WeakWeakly Z-symmetric (WZS) as mentioned in this paper is a Riemannian manifold that includes weakly-, pseudo-and pseudo projective Ricci symmetric manifolds.