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arXiv · 2011.03569

Rigidity results for quotient almost Yamabe solitons

Marcelo Bezerra Barboza·Willian Isao Tokura·Elismar Dias Batista·Priscila Marques Kai
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Abstract

In this paper we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because they extend quite naturally those called quotient Yamabe solitons. We then present sufficient conditions for a compact quotient almost Yamabe soliton to be either trivial or isometric with an Euclidean sphere. We also characterize noncompact quotient gradient almost Yamabe solitons satisfying certain conditions on both its Ricci tensor and potential function.

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Marcelo Bezerra Barboza, Willian Isao Tokura, Elismar Dias Batista, Priscila Marques Kai. 2020-11-06. Rigidity results for quotient almost Yamabe solitons. https://arxiv.org/abs/2011.03569

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