Generalized m-quasi-Einstein manifolds of Yamabe-type have potential vector fields that vanish or are non-trivial Killing fields under natural assumptions in compact and non-compact settings.
Mete:On the Killing property of the defining vector field for an almost Yamabe soliton,https: //arxiv.org/abs/2603.18686
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On the rigidity of generalized $m$-quasi-Einstein manifolds of Yamabe-type
Generalized m-quasi-Einstein manifolds of Yamabe-type have potential vector fields that vanish or are non-trivial Killing fields under natural assumptions in compact and non-compact settings.