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arXiv · 2103.02954

Remarks on Einstein solitons with certain types of potential vector field

Adara M. Blaga·Dan Radu Latcu
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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.

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Adara M. Blaga, Dan Radu Latcu. 2021-03-04. Remarks on Einstein solitons with certain types of potential vector field. https://doi.org/10.36890/iejg.859572

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