In this paper, we classify 3-dimensional Riemannian manifolds endowed with a special type of vector field if the Riemannian metrices are Ricci-Yamabe solitons and gradient Ricci-Yamabe solitons, respectively. Finally, we construct an example to illustrate our result.

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De et al. (Sat,) studied this question.

synapsesocial.com/papers/6a17308549465f4f4bbde4bd https://doi.org/https://doi.org/10.55730/1300-0098.3143

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1A Note on Gradient Solitons in Three-Dimensional Riemannian Manifolds2021 · 2 citations
2Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry2020 · 14 citations
3Ricci solitons on 3-dimensional cosymplectic manifolds2017 · 49 citations
4Remarks on Riemann and Ricci solitons in $(α,β)$-contact metric manifolds2020 · 2 citations
5On the Existence of Contact Forms1975 · 72 citations