Research profile

Marcelo Bezerra Barboza

Works on almost & η-Ricci solitons, Harnack inequalities and Yamabe flow.

NP-RC-9909030000-0003-4258-4676

Also appears as Marcelo Barboza

7
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5
co-authors
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Almost & η-Ricci solitonsHarnack inequalitiesYamabe flowRotational symmetry & warped productsBoundaries & non-compactStability & uniquenessRicci solitons

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Co-authors

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Frequent co-authors of Marcelo Bezerra Barboza Marcelo Bezerra Barboza in the centre and 5 co-authors around them, closer for more joint papers on this site. Barboza Willian Isao Tokura: 2 joint worksWTTokura Elismar Dias Batista: 1 joint workEBBatista Priscila Marques Kai: 1 joint workPKKai Levi Adriano: 1 joint workLAAdriano Romildo Pina: 1 joint workRPPina
Closer to the centre: more joint work here. have also written together
  1. Willian Isao Tokura

    2 joint workslatest 2020

  2. Elismar Dias Batista

    1 joint worklatest 2020

  3. Priscila Marques Kai

    1 joint worklatest 2020

  4. Levi Adriano

    1 joint worklatest 2019

  5. Romildo Pina

    1 joint worklatest 2019

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Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.DGWider flowsarXiv:2011.03569

Rigidity results for quotient almost Yamabe solitons

Marcelo 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
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2019

math.DGarXiv:1905.00068

Gradient Estimates on Warped Product Gradient Almost Ricci Solitons

Willian 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
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NP-RC-990903 is Marcelo Bezerra Barboza's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. How it is put together.