Publications

Accepted and Published Articles

• [DOI] On rigidity results for spacelike $\xi$-translator in pseudo-Euclidean spaces, Collectanea Mathematica, 2026. 

• [DOI] On the Geometry of Complete Spacelike LW-Submanifolds in Locally Symmetric Semi-Riemannian Spaces, Jour. of Geometry and Physics, 227, 105879, 2026.

• [DOI] Central Pole-to-Plane Projections on Ellipsoids and Elliptic Paraboloids: Geometry and Applications, International Electronic J. of Geometry, 19(1), 18-36, 2026.

• [DOI] Rigidity and nonexistence of complete spacelike hypersurfaces in the steady state space via Omori-Yau's generalized maximum principle, Proceedings Mathematical Sciences, 135, number 38, 2025. 

• [DOI] Umbilicity of linear Weingarten spacelike submanifolds with second fundamental form locally timelike, Results in Mathematics, 80, number 160, 2025. 

• [DOI] Stochastically complete, Parabolic and L1-Liouville spacelike submanifolds with parallel mean curvature vector, Potential Analysis, 60, 27-43, 2024. 

• [DOI] Spacelike submanifold with parallel mean curvature vector in de Sitter space: Characterizations, Recon. del Circolo Matematico di Palermo, 73, 835-855, 2024. 

• [DOI] On the rigidity of spacelike submanifolds with Parallel Gaussian mean curvature vector, Acta Mathematica Hungarica, 170, 323-329, 2023. 

• [DOI] Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-De Sitter space, Annali Dell'Universittà Di Ferrara, 69, 95-109, 2023. 

• [DOI] Revisiting linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian spaces, Comment. Math. Univer. Carolinae, 64, 39-61, 2023. 

• [DOI] On the umbilicity of Linear Weingarten spacelike submanifolds immersed in the de Sitter space, Bulletin of Mathematical Sciences, 12, 2050022, 2022. 

• [DOI] Complete spacelike hypersurfaces in the anti-De Sitter space: rigidity, nonexistence and curvature estimates, Colloq. Mathematicum, 170, 253-273, 2022. 

• [DOI] Gap type results for spacelike submanifolds with parallel mean curvature vector, Mathematica Scandinavica, 128, (3), 2022. 

• [DOI] On the linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space, Contrib. to Algebra and Geom. 67, 267-282, 2020. 

Preprints Submitted

• Rigidity of weakly $\delta$-trapped spacelike submanifolds in weighted standard static spacetimes, preprint, 2026 (with D. da Silva, H. de Lima and E.A. Lima Jr.)

• Rigidity and gap type results for complete $\xi$-translators in Euclidean space, preprint, 2026. (with W. F. Gomes, and H. F. De Lima).

• Determinando pontos notáveis e construindo triângulos semelhantes em um triângulo qualquer,  preprint, 2026. (with M. S. Aires and A. T. Lourêdo). [pt-🇧🇷]

• Characterizations and relative nullity estimates for spacelike hypersurfaces in conformally stationary spacetimes, 2026 (with H. Lacerda, de Lima and Velásquez)

• Rigidity of Maximal Spacelike Surfaces in GRW Spacetimes via a Nishikawa-Type Approach,  preprint, 2025. (with F. Roing, E.C. Silva, E.A. Lima Jr. and A.Medeiros).

• Rigidity results of spacelike hypersurfaces in the steady state space via a suitable linearized curvature function, 2025. (A.V. Leite, H.F. De Lima, M.A.L. Velásquez)

• New characterizations of complete spacelike submanifolds with parallel mean curvature vector in a pseudo-Riemannian space form, 2025 ( De Lima and Velasquez)

Work in Progress

• Global Rigidity of spacelike $\xi-$submanifolds via decay and integrability condition, 2026.

• Gap type results for submanifolds with weighted mean curvature in Gaussian space, 2026 (with W.F. Gomes and H. De Lima)

• Gap type and nonexistence results for spacelike t-submanifolds under integrability conditions, 2026. (With De Lima).

Other Publications

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

• Sobre a existência, unicidade e controlabilidade de soluções para algumas EPD de evolução, 2017, Master's Thesis, PPGMAT/UFCG. [PDF]

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