Abraão Mendes
abraao.mendes@im.ufal.br
Preprint
-
Area-charge inequality and local rigidity in charged initial data sets. Preprint (2025).
arXiv:2505.20060
PDF
-
Rigidity of surfaces with nonpositive Euler characteristic by the second eigenvalue of the Jacobi operator. Preprint (2025).
(com M. Batista, M.P. Cavalcante e I. Nunes)
PDF
-
Rigidity results for free boundary hypersurfaces in initial data sets with boundary. Preprint (2025).
arXiv:2502.09433
(com D. de Almeida)
PDF
Artigos Publicados
-
Rigidity of min–max minimal disks in 3-balls with non-negative Ricci curvature. Calc. Var. Partial Differ. Equ. 64 (2025), No. 4, Paper No. 133, 32 p.
doi.org/10.1007/s00526-025-02984-w
(com L. Mazet)
PDF
-
Some rigidity results for charged initial data sets. Nonlinear Anal. 256 (2025), Article ID 113780, 9 p.
doi.org/10.1016/j.na.2025.113780 (com G.J. Galloway)
PDF
-
Aspects of the geometry and topology of expanding horizons. Proc. Am. Math. Soc. 153 (2025), No. 3, 1239-1250.
doi.org/10.1090/proc/17092 (com G.J. Galloway)
-
Some rigidity results for compact initial data sets. Trans. Am. Math. Soc. 377 (2024), No. 3, 1989-2007.
doi.org/10.1090/tran/9079
(com G.J. Galloway)
PDF
-
Free boundary minimal hypersurfaces outside of the ball. Rev. Mat. Iberoam. 40 (2024), No. 1, 277-298.
doi.org/10.4171/rmi/1453
(com L. Mazet)
PDF
-
Rigidity of free boundary MOTS. Nonlinear Anal. 220 (2022), Article ID 112841, 15 p.
doi.org/10.1016/j.na.2022.112841
PDF
-
Initial data rigidity results. Commun. Math. Phys. 386 (2021), No. 1, 253-268.
doi.org/10.1007/s00220-021-04033-x
(com M. Eichmair e
G.J. Galloway)
PDF
-
Rigidity of marginally outer trapped (hyper)surfaces with negative σ-constant. Trans. Am. Math. Soc. 372 (2019), No. 8, 5851-5868.
doi.org/10.1090/tran/7752
PDF
-
Rigidity of volume-minimising hypersurfaces in Riemannian 5-manifolds. Math. Proc. Camb. Philos. Soc. 167 (2019), No. 2, 345-353.
doi.org/10.1017/S0305004118000361
PDF
-
Characterization of hypersurfaces via the second eigenvalue of the Jacobi operator. Proc. Am. Math. Soc. 147 (2019), No. 8, 3515-3521.
doi.org/10.1090/proc/14477
PDF
-
Vanishing theorems for the cohomology groups of free boundary submanifolds. Ann. Global Anal. Geom. 56 (2019), No. 1, 137-146.
doi.org/10.1007/s10455-019-09660-1
(com M.P. Cavalcante e
F. Vitório)
PDF
-
Rigidity of free boundary surfaces in compact 3-manifolds with strictly convex boundary. J. Geom. Anal. 28 (2018), No. 2, 1245-1257.
doi.org/10.1007/s12220-017-9861-9
PDF
- Rigidity of marginally outer trapped 2-spheres. Commun. Anal. Geom. 26 (2018), No. 1, 63-83.
doi.org/10.4310/CAG.2018.v26.n1.a2
(com G.J. Galloway)
PDF