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- W2909139738 abstract "If [Formula: see text] is a 3-dimensional contact metric manifold such that [Formula: see text] which admits a Yamabe soliton [Formula: see text] with the flow vector field [Formula: see text] pointwise collinear with the Reeb vector field [Formula: see text], then we show that the scalar curvature is constant and the manifold is Sasakian. Moreover, we prove that if [Formula: see text] is endowed with a Yamabe soliton [Formula: see text], then either [Formula: see text] is flat or it has constant scalar curvature and the flow vector field [Formula: see text] is Killing. Furthermore, we show that if [Formula: see text] is non-flat, then either [Formula: see text] is a Sasakian manifold of constant curvature [Formula: see text] or [Formula: see text] is an infinitesimal automorphism of the contact metric structure on [Formula: see text]." @default.
- W2909139738 created "2019-01-25" @default.
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- W2909139738 date "2019-03-01" @default.
- W2909139738 modified "2023-10-16" @default.
- W2909139738 title "Yamabe solitons on 3-dimensional contact metric manifolds with Qφ = φQ" @default.
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- W2909139738 doi "https://doi.org/10.1142/s0219887819500397" @default.
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