Abstract
We consider almost Riemann solitons \((V,\lambda )\) in a Riemannian manifold and underline their relation to almost Ricci solitons. When V is of gradient type, using Bochner formula, 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 properties for the particular cases when the potential vector field of the soliton is solenoidal or torse-forming, with a special view towards curvature.
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Communicated by Young Jin Suh.
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Blaga, A.M. Remarks on almost Riemann solitons with gradient or torse-forming vector field. Bull. Malays. Math. Sci. Soc. 44, 3215–3227 (2021). https://doi.org/10.1007/s40840-021-01108-9
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DOI: https://doi.org/10.1007/s40840-021-01108-9