Remarks on Einstein Solitons with Certain Types of Vector Field

Authors : Adara-monica BLAGA, Dan Radu LAŢCU

Pages : 100-105

Doi:10.36890/iejg.859572

View : 9 | Download : 5

Publication Date : 2021-04-15

Article Type : Research Paper

Abstract :We consider almost Einstein solitons $insert ignore into journalissuearticles values(V,\lambda);$ in a Riemannian manifold when $V$ is a gradient, a solenoidal or a concircular vector field. We explicitly express the function $\lambda$ by means of the gradient vector field $V$ and illustrate the result with suitable examples. Moreover, we deduce some geometric properties when the Ricci curvature tensor of the manifold satisfies certain symmetry conditions.
Keywords : Einstein solitons, gradient vector field, concircular vector field