Publications

Accepted and Published Articles

• [DOI] Rigidity and nonexistence of complete spacelike hypersurfaces in the steady state space via Omori-Yau's generalized maximum principle, Proceedings - Mathematical Sciences, (2025). (Accepted for publication) 🇮🇳

• [DOI] Umbilicity of linear Weingarten spacelike submanifolds with second fundamental form locally timelike, Results in Mathematics, (2025) . 🇨🇭

• [DOI] Stochastically complete, Parabolic and L1-Liouville spacelike submanifolds with parallel mean curvature vector, Potential Analysis, (2024). 🇳🇱

• [DOI] Spacelike submanifold with parallel mean curvature vector in the Sitter space: Characterizations and gaps, Recondiconti del Circolo Matematico di Palermo, (2024). 🇮🇹

• [DOI] On the rigidity of spacelike submanifolds with Parallel Gaussian mean curvature vector, Acta Mathematica Hungarica, (2023). 🇳🇱

• [DOI] Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-De Sitter space, Annali Dell'Universittà Di Ferrara. (2023). 🇮🇹

• [DOI] Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian spaces, Commentationes Mathematicae Universitatis Carolinae. (2023).  🇨🇿

• [DOI] On the umbilicity of Linear Weingarten spacelike submanifolds immersed in the de Sitter space, Bulletin of Mathematical Sciences, (2022). 🇸🇬

• [DOI] Complete spacelike hypersurfaces in the anti-De Sitter space: rigidity, nonexistence and curvature estimates, Colloq. Mathematicum,(2022). 🇵🇱

• [DOI] Gap type results for spacelike submanifolds with parallel mean curvature vector, Mathematica Scandinavica, (2022). 🇩🇰

• [DOI] On the linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space, Contributions to Algebra and Geometry (2020). 🇩🇪

Preprints Submitted

• Rigidity Results for Spacelike Self-Shrinkers via Different Maximum Principles, (2025).

• Stereographic Projections on Some Quadric Surfaces and Applications (2025), (With Cruz T. and  Leal, R.).

• A Nishikawa approach to  maximal surfaces in GRW spacetimes (With E.A. Lima Jr., A.A. Medeiros, F. Roing and E.C. Silva). (2025).

• Umbilicity of spacelike submanifold with parallel mean curvature vector via convergence to zero at infinity. (With De Lima H.F., Velásquez M.). (2024).

Work in Progress

• On the spacelike LW-Submanifolds immersed in a locally symmetric semi-Riemannian space (With. Jogli G. Araújo).

• Weakly weighted d-trapped submanifolds in weighted Standard Static Spacetimes (With E.A. Lima Jr., H. F. de Lima, D. F. Silva.).

• Spacelike hypersurfaces in conformably stationary spacetimes through their behavior at infinity or their volume growth (With De Lima, H.F., Lacerda, H.H., Velásquez, M.A.L.).

Other Publications

• [PDF] On spacelike immersions in locally symmetric semi-Riemannian spaces, Tese de Doutorado, UFCG/UFPB, 2022.

• [PDF] Sobre a existência, unicidade e controlabilidade de soluções para algumas EPD de evolução, Dissertação de Mestrado, UFCG, 2017.

• [PDF] O Teorema do Ponto Fixo de Banach e Aplicações, Trabalho de Conclusão de curso - TCC, UEPB, 2014.