Publications
(with A. Lima and P. Sousa) Some results on $\mathfrak{g}$-stability for hypersurfaces in an initial data set, 2025.
(with A. Lima and P. Sousa) Rigidity of MOTS in charged initial data sets, 2023.
(with L. Lima) A harmonic level set proof of a positive mass theorem. To appear in Procedding of the American Mathematical Society.
(with B. Lima and J. Silva) Rigidity of free boundary minimal disks in mean convex three-manifolds. The Journal of Geometric and Analysis. Vol. 34, 279, 2024. journal
(with A. Barros and H. Baltazar) A local rigidity theorem for minimal two-spheres in charged time-symmetric initial data set. Letters in Mathematical in Physics. Vol. 113, 92, 2023. journal
(with B. Lima, P. Sousa and B. Vieira) Estimates for the first fourth Steklov eigenvalue of a minimal hypersurface with free boundary. Pacific Journal of Mathematics. Vol. 325, nº 1, p. 1-10, 2023. journal
(with B. Lima, P. Sousa and B. Veira) Rigidity of capillary surfaces in compact 3-manifolds with strictly convex boundary. Proc. Edinb. Math. Soc. Vol. 66, p. 231-240, 2023. journal
(with H. Baltazar and K. Bezerra) On the volume functional of compact manifolds with boundary with harmonic Weyl tensor. Mathematische Nachrichten. Vol 296, p. 13366-1379. journal
(with H. Baltazar and E. Ribeiro Jr.) Geometric inequalities for critical metrics of the volume functional. Annali di Matematica Pura ed Applicata, Vol. 201, p.1463-1480, 2022. journal
(with M. Ranieri and E. Ribeiro Jr.) Remarks on complete noncompact Einstein warped products. Communications in Analysis and Geometry, Vol. 28, p. 547-563, 2020. journal
(with H. Baltazar, A. Barros and E. Viana) On static manifolds and related critical spaces with zero radial Weyl curvature. Monatshefte fur Mathematik (Print), Vol. 191, p. 449-463, 2020. journal
(with P. Sousa and A. Barros) A new class of Killing Invariant Surfaces in 𝕊3. International Journal of Mathematics, Vol. 29, p. 1-11, 2018. journal
(with A. Barros and C. Cruz) Hawking mass and local rigidity of minimal surfaces in three-manifolds. Communications in Analysis and Geometry, Vol. 25, p. 1-23, 2017. journal
(with R. Diógenes, M. Ranieri and Ernani Jr.) Critical metrics of the volume functional on compact three-manifolds with smooth boundary. The Journal of Geometric Analysis. V. 27, 2017. journal
(with A.W. Cunha) Estimates of the first Steklov eigenvalue of properly embedded minimal hypersurfaces with free boundary. Bull. Braz. Math. Soc.. Vol. 47, p. 871-881, 2016. journal
(with A. Barros, C. Cruz and P. Sousa) Rigidity in dimension four of area-minimising Einstein manifolds. Math. Proc. Cambridge Philos. Soc.. (Print), Vol. 158, p. 355-363, 2015. journal
(with A. Barros and E. Ribeiro Jr.) Bounds on volume growth of geodesic balls for Einstein warped products. Procedding of the American Mathematical Society. Vol. 143, p. 4415-4422, 2015. journal
(with A. Barros and E. Ribeiro Jr.) Compact almost Ricci solitons with constant scalar curvature are gradient. Monatshefte fur Mathematik (Print), Vol. 174, p. 29-39, 2014. journal
(with A. Barros and E. Ribeiro Jr.) Rigidity of gradient almost Ricci solitons. Illinois Journal of Mathematics. Vol. 56, p. 1267-1279, 2012. journal