https://neckpinch.com/authors/elismar-dias-batista/New arXiv papers by Elismar Dias Batista, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2011.03569/arxiv:2011.03569Fri, 06 Nov 2020 00:00:00 GMTMarcelo Bezerra Barboza, Willian Isao Tokura, Elismar Dias Batista, Priscila Marques Kai — 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.Yamabe flowAlmost & η-Ricci solitonsStability & uniquenessBoundaries & non-compact