Abraão Mendes

abraao.mendes@im.ufal.br
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Artigos Publicados

  1. 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
  2. Some rigidity results for compact initial data sets. Trans. Amer. Math. Soc. 377 (2024), 1989-2007. doi.org/10.1090/tran/9079 (com G.J. Galloway) PDF
  3. Rigidity of free boundary MOTS. Nonlinear Anal. 220 (2022), Paper No. 112841, 15 pp. doi.org/10.1016/j.na.2022.112841 PDF
  4. Initial data rigidity results. Comm. Math. Phys. 386 (2021), no. 1, 253–268. doi.org/10.1007/s00220-021-04033-x (com M. Eichmair e G.J. Galloway) PDF
  5. Rigidity of marginally outer trapped (hyper)surfaces with negative σ-constant. Trans. Amer. Math. Soc. 372 (2019), no. 8, 5851–5868. doi.org/10.1090/tran/7752 PDF
  6. Rigidity of volume-minimising hypersurfaces in Riemannian 5-manifolds. Math. Proc. Cambridge Philos. Soc. 167 (2019), no. 2, 345–353. doi.org/10.1017/S0305004118000361 PDF
  7. Characterization of hypersurfaces via the second eigenvalue of the Jacobi operator. Proc. Amer. Math. Soc. 147 (2019), no. 8, 3515–3521. doi.org/10.1090/proc/14477 PDF
  8. 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
  9. 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
  10. Rigidity of marginally outer trapped 2-spheres. Comm. Anal. Geom. 26 (2018), no. 1, 63–83. doi.org/10.4310/CAG.2018.v26.n1.a2 (com G.J. Galloway) PDF

Preprint

  1. Aspects of the geometry and topology of expanding horizons. Preprint (2024). arXiv:2404.02019 (com G.J. Galloway) PDF
  2. Rigidity of min-max minimal disks in 3-balls with non-negative Ricci curvature. Preprint (2023). arXiv:2307.03624 (com L. Mazet) PDF