Remarks on Einstein Solitons with Certain Types of Vector Field

Year 2021, Volume: 14 Issue: 1, 100 - 105, 15.04.2021

Adara-monica Blaga , Dan Radu Laţcu

https://doi.org/10.36890/iejg.859572

Cited By: 2

Abstract

We consider almost Einstein solitons $(V,\lambda)$ 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

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