https://neckpinch.com/authors/marcelo-bezerra-barboza/New arXiv papers by Marcelo Bezerra Barboza, 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 https://neckpinch.com/papers/1905.00068/arxiv:1905.00068Tue, 30 Apr 2019 00:00:00 GMTWillian Isao Tokura, Levi Adriano, Romildo Pina, Marcelo Barboza — In this paper, by slightly modifying Li-Yau's technique so that we can handle drifting Laplacians, we were able to find three different gradient estimates for the warping function, one for each sign of the Einstein constant of the fiber manifold. As an application, we exhibit a nonexistence theorem for gradient almost Ricci solitons possessing certain metric properties on the base of the warped product.Ricci solitonsAlmost & η-Ricci solitonsHarnack inequalitiesRotational symmetry & warped products