Open AccessJournal Article
On Generalized Quasi Einstein Manifolds
TLDR
In this article, a generalized quasi-Einstein manifold (GEM) is studied and the object of the present paper is to study a type of Riemannian manifold called GEM.Abstract:
The object of the present paper is to study a type of Riemannian manifold called generalized quasi Einstein manifoldread more
Citations
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Journal ArticleDOI
On quasi Einstein manifolds
TL;DR: The hypersurfaces of a Euclidean space have been studied and the existence of (QE)n manifolds is proved.
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Classification of torqued vector fields and its applications to Ricci solitons
TL;DR: In this paper, it was shown that Ricci solitons with torqued potential vectors are an almost quasi-Einstein manifold and an Einstein manifold if and only if the potential vector is a concircular vector.
On quasi Einstein and generalized quasi Einstein manifolds
TL;DR: In this article, the existence of a 4-dimensional Lorentz manifold with Ricci tensors of type (0, 2) is established, and it is shown that such a manifold represents a perfect fluid space-time in cosmology.
Journal ArticleDOI
On curvature properties of Som–Raychaudhuri spacetime
Absos Ali Shaikh,Haradhan Kundu +1 more
TL;DR: The main object of as discussed by the authors is to investigate the curvature restricted geometric structures admitting by the Som-Raychaudhuri spacetime and it is shown that such a spacetime is a 2-quasi-Einstein, generalized Roter type, and its Ricci tensor is cyclic parallel and Riemann compatible.
Journal ArticleDOI
On the existence of a new class of semi-Riemannian manifolds
TL;DR: In this article, the existence of a new class of semi-Riemannian manifolds which are weakly generalized recurrent, pseudo quasi-Einstein and fulfill the condition R · R = Q(S, R).
References
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Book ChapterDOI
Einstein Manifolds and Topology
TL;DR: In this paper, the question of which compact manifolds do not admit an Einstein metric was investigated in dimension 3 and 4, and it was shown that there are a few manifolds which do admit any Einstein metric.
Journal ArticleDOI
On quasi Einstein manifolds
TL;DR: The hypersurfaces of a Euclidean space have been studied and the existence of (QE)n manifolds is proved.
Journal Article
On generalized quasi-einstein manifolds
TL;DR: The notions of a generalized quasi Einstein manifold and a manifold of generalized quasi constant curvature are introduced and some properties of such manifolds are obtained in this article, where the authors introduce the notion of a quasi-Einstein manifold.
Journal ArticleDOI
Generalized Einstein manifolds
TL;DR: In this article, it was shown that the critical points g0 ∈ F0(gt) of the integral I(lt) on a compact n-dimensional Finslerian manifold preserving the volume of the unitary fibre bundle W(M) define a generalized Einstein manifold (GEM).