On Ricci Solitons as Quasi-Einstein metrics

/pdf/three-manifolds-with-positive-ricci-curvature-9ctpkno3yf.pdf

Three-manifolds with positive Ricci curvature

/pdf/ricci-deformation-of-the-metric-on-a-riemannian-manifold-sfsv4zgvrf.pdf

Ricci deformation of the metric on a Riemannian manifold

We prove that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field. Moreover, we classify a real hypersurface admitting so-called “$\eta$-Ricci soliton” in a non-flat complex space form.

/pdf/ricci-solitons-and-real-hypersurfaces-in-a-complex-space-1cfr8npf04.pdf

Ricci solitons and real hypersurfaces in a complex space form

The present paper is devoted to study the curvature and torsion of Frenet Legendre curves in 3-dimensional normal almost paracontact metric manifolds. Moreover, in this class of manifolds, properties of non-Frenet Legendre curves (with null tangents or null normals or null binormals) are obtained. Many examples of Legendre curves are constructed.

On Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds

On introduit la notion de CL-transformations infinitesimales dans une variete LP-sasakienne. On definit une CL-relation entre une connexion affine symetrique et la connexion metrique lorentzienne. On obtient un champ tensoriel invariant sous la CL-relation. On definit la notion de variete CL-plate LP-sasakienne

On Ricci Solitons as Quasi-Einstein metrics

References

Three-manifolds with positive Ricci curvature

Ricci deformation of the metric on a Riemannian manifold

Ricci solitons and real hypersurfaces in a complex space form

On Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds

On a certain transformation in a Lorentzian para-Sasakian manifold

Related Papers (5)

Ricci solitons and gradient Ricci solitons on $3$-dimensional normal almost contact metric manifolds

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Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups

Ricci solitons on four-dimensional Lorentzian Walker manifolds