m-Quasi-Einstein Metrics Satisfying Certain Conditions on the Potential Vector Field
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DOI: 10.1007/s00009-020-01558-8
Abstract: In this paper we study Riemannian manifolds $$(M^n, g)$$ admitting an m-quasi-Einstein metric with V as its potential vector field. We derive an integral formula for compact m-quasi-Einstein manifolds and prove that the vector field… read more here.
Keywords: vector field; vector; potential vector; quasi einstein ... See more keywords
Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds
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DOI: 10.1007/s00009-021-01720-w
Abstract: In this paper, we characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds. read more here.
Keywords: gradient quasi; yamabe gradient; gradient yamabe; three dimensional ... See more keywords
Geometry of compact quasi-Einstein manifolds with boundary
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DOI: 10.1007/s00229-021-01340-4
Abstract: In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary that improve some previous results. Moreover, we obtain a characterization theorem… read more here.
Keywords: einstein manifolds; manifolds boundary; compact quasi; geometry ... See more keywords
On the Rigidity of Generalized Quasi-Einstein Manifolds
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DOI: 10.1007/s40840-019-00788-8
Abstract: Here, it is shown a compact generalized quasi-Einstein or briefly a GQE manifold has the finite fundamental group. Next, under certain assumptions, a rigidity result shows that a compact GQE manifold is diffeomorphic to the… read more here.
Keywords: rigidity generalized; generalized quasi; einstein manifolds; quasi einstein ... See more keywords
On generalized quasi Einstein standard static spacetimes
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DOI: 10.1016/j.geomphys.2021.104366
Abstract: Abstract In the present paper, first, we characterize the standard static spacetimes satisfying certain Ricci-Hessian class type equations, such as generalized quasi Einstein manifolds, m-quasi Einstein manifolds, ( m , ρ ) -quasi Einstein manifolds,… read more here.
Keywords: einstein manifolds; einstein standard; static spacetimes; standard static ... See more keywords
Geometric and physical characteristics of mixed super quasi-Einstein manifolds
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DOI: 10.1142/s0219887819501044
Abstract: The authors consider a mixed super quasi-Einstein manifold, which is conducive to understanding deeply the global characteristics of the universe including its topology. Firstly, the existence of such manifolds is ensured by an interesting example.… read more here.
Keywords: einstein manifolds; mixed super; super quasi; quasi einstein ... See more keywords
Solutions to the affine quasi-Einstein equation for homogeneous surfaces
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DOI: 10.1515/advgeom-2020-0011
Abstract: Abstract We examine the space of solutions to the affine quasi–Einstein equation in the context of homogeneous surfaces. As these spaces can be used to create gradient Yamabe solitons, conformally Einstein metrics, and warped product… read more here.
Keywords: solutions affine; einstein equation; quasi einstein; affine quasi ... See more keywords
On mixed quasi-Einstein spacetimes
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DOI: 10.2298/fil1808707s
Abstract: The object of the present paper is to study mixed quasi-Einstein spacetimes, briefly M(QE)4 spacetimes. First we prove that every Z Ricci pseudosymmetric M(QE)4 spacetimes is a Z Ricci semisymmetric spacetime. Then we study Z… read more here.
Keywords: spacetime; quasi einstein; mixed quasi; einstein spacetimes ... See more keywords