Publications

Differential Geometry & GeometrIC Analysis

Published Papers

Compact Einstein-type manifolds with parallel Ricci tensor, with Halyon Baltazar and Christopher Queiroz, Results in Mathematics (2026).
Rigidity results for Serrin's overdetermined problems in Riemannian manifolds, with Allan Freitas and Diego A. Marín, Calculus of Variations and Partial Differential Equations (2025).
Mass and topology of hypersurfaces in static perfect fluid spaces, with Benedito Leandro and Thamara Policarpo, General Relativity and Gravitation (2025).
Some rigidity results for complete totally trapped submanifolds in generalized Robertson-Walker spacetimes, with Eraldo Lima Jr., Francisco Calvi and Ramon Figueira, Letters in Mathematical Physics, 2025.
Some characterizations of compact Einstein-type manifolds, with Ana Paula de Melo, Letters in Mathematical Physics (2024).
On the σ _2-curvature and volume of compact manifolds, with Almir Silva Santos and Tiarlos Cruz. Annali di Matematica Pura ed Applicata (2023).
On the Geometry of Electrovacuum Spaces in Higher Dimensions, with Benedito Leandro and Robson Lousa, Annales Henri Poincaré (2023).
A short overview of Besse´s conjecture, with Pietro da Silva. Matemática Contemporânea. (2022).
On the interplay between CPE metrics, vacuum static spaces and σ _2-singular spaces. Archiv der Mathematik (2021).
Gap Results for Free Boundary CMC Surfaces in Radially Symmetric Conformally Euclidean Three-Balls. With Ezequiel Barbosa and Edno Pereira. The Journal of Geometric Analysis (2021).
About the parabolicity of trapped submanifolds in standard static spacetimes. With Eraldo Lima Jr. and Fernanda Roing. Nonlinear Analysis (2020).
Deformations of the σ2-curvature. With Almir Santos. Annals of Global Analysis and Geometry (2018).
On p-Parabolicity of Riemannian Submersions. With Pietro da Silva. Results in Mathematics (2017).

PreprintS

Geometry of Einstein-type manifolds with boundary (2025).
On gradient ρ-Einstein solitons with Bach tensor radially nonnegative with V. Borges and H. Reis (2025).

BooKS (in Portuguese)

Alguns resultados sobre superfícies CMC's no problema de bordo livre, with Edno Pereira, SBM, V Colóquio de Matemática da Região Nordeste (2023).
Curvas de Subdivisão, with Dimas Martines, Thales Vieira and Adelailson Peixoto EDUFPI, II Colóquio de Matemática da Região Nordeste (2012).
Cálculo e Estimação de Invariantes Geométricos -- Uma Introdução às Geometrias Euclidianas e Afim, with Thomas Lewiner, IMPA, 28º Colóquio Brasileiro de Matemática (2011).
Curvas e Superfícies Implícitas: Noçõoes de Geometria Diferencial e Discreta, with Thomas Lewiner, Allyson Cabral, Vinícius Mello and Adelailson Peixoto, SBM, I Colóquio de Matemática da Região Nordeste ( 2011).

Computer Graphics

Estimating Affine-Invariant Structures on Triangle Meshes with Thales Vieira, Dimas Martínez and Thomas Lewiner. Computers & Graphics, Special Section on SIBGRAPI 2016. SIBGRAPI 2016's best paper.

Estimating affine normal vectors in discrete surfaces with Nayane Freitas and Dimas Martínez. In: Sibgrapi, 2015, Salvador. Workshop Theses and Dissertations, 2015.

Subdivision Curves with Adelailson Peixoto, Dimas Martínez and Thales Vieira . (November 2012): Short course program of the Second Mathematics Colloquim of the Notheast.

Fluid Simulation on Surfaces in the GPU, with Leonardo Carvalho and Luiz Velho . In: XXV SIBGRAPI Conference on Graphics, Patterns and Images (SIBGRAPI), 2012, Ouro Preto. p. 205-212.

Generating textures on Surfaces with Reaction-Diffusion systems in the GPU, with Leonardo Carvalho and Luiz Velho. GPU Computing Developer Forum 2012.

Affine-Invariant Estimators for Implicit Surfaces, with Thomas Lewiner (August 2011). In Proceedings of WTD- Workshop of Theses and Dissertations, SIBGRAPI 2011. Which we won the Honorable Mention Thesis in Computers Graphics.

Affine-invariant curvature estimators for implicit surfaces, with Thomas Lewiner. Computer Aided Geometric Design (v. 29, p. 162-173, 2012.).

Geometric invariant calculus and estimation: an introduction to Euclidean and affine geometries, with Thomas Lewiner (July 2011): Book published in the context of the 28th Brazilian Mathematical Colloquium

Implicit curve and surfaces: elements of differential and discrete geometries, with Allyson Cabral, Vinicius Mello, Adelaison Peixoto and Thomas Lewiner (March 2011): Short course in the First Mathematics Colloquim of the Notheast.

Tuning Manifold Harmonics Filters, with Thomas Lewiner et al. In: Sibgrapi 2010 (XXII Brazilian Symposium on Computer Graphics and Image Processing), Gramado-RS.

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