Publications

  1. Ros, Antonio, Index one minimal surfaces in positively curved 3-manifolds. J. Differential Geom. 129, no. 2 (2025), 523-540 Article
  2. Ros, Antonio, First eigenvalue of the Laplacian on compact surfaces for large genera.  Math. Zeitschrift (2023), 305:62 Article
  3. Ros, Antonio, On the first eigenvalue of the Laplacian on compact surfaces of genus three. J. Math. Soc. Japan 74 (2022), no. 3, 813–828 Article
  4.  Meeks, William H., III; Mira, Pablo; Pérez, Joaquín; Ros, Antonio; Constant mean curvature spheres in homogeneous three-spheres. J. Differential Geom. 120 (2022), no. 2, 307–343 Article
  5.  Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; The embedded Calabi-Yau conjecture for finite genus. Duke Math. J. 170 (2021), no. 13, 2891–2956 Article
  6.  Meeks, William H., III; Mira, Pablo; Pérez, Joaquín; Ros, Antonio ,Constant mean curvature spheres in homogeneous three-manifolds. Invent. Math. 224 (2021), no. 1, 147–244 Article
  7.  Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; Structure theorems for singular minimal laminations. J. Reine Angew. Math. 763 (2020), 271–312 Article
  8.  Ros, Antonio; Ruiz, David; Sicbaldi, Pieralberto Solutions to overdetermined elliptic problems in nontrivial exterior domains. J. Eur. Math. Soc. (JEMS) 22 (2020), no. 1, 253–281 Article
  9. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; Bounds on the topology and index of minimal surfaces. Acta Math. 223 (2019), no. 1, 113–149 Article
  10. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; The local picture theorem on the scale of topology. J. Differential Geom. 109 (2018), no. 3, 509–565 Article
  11.  Ros, Antonio; Ruiz, David; Sicbaldi, Pieralberto; A rigidity result for overdetermined elliptic problems in the plane. Comm. Pure Appl. Math. 70 (2017), no. 7, 1223–1252 Article
  12. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; The classification of CMC foliations of  \mathbb{R}^3 and \mathbb{S}^3 with countably many singularities. Amer. J. Math.138 (2016), no. 5, 1347–1382 Article
  13. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio;  The dynamics theorem for properly embedded minimal surfaces. Math. Ann. 365 (2016), no. 3-4, 1069–1089 Article
  14.  Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; Local removable singularity theorems for minimal laminations. J. Differential Geom. 103 (2016), no. 2, 319–362 Article
  15.  Meeks, William H., III; Pérez, Joaquín; Ros, Antonio; Properly embedded minimal planar domains. Ann. of Math. (2) 181 (2015), no. 2, 473–546 Article
  16.  Meeks, William H., III; Mira, Pablo; Pérez, Joaquín; Ros, Antonio Isoperimetric domains of large volume in homogeneous three-manifolds. Adv. Math. 264 (2014), 546–592 Article
  17.  Ros, Antonio; Sicbaldi, Pieralberto Geometry and topology of some overdetermined elliptic problems. J. Differential Equations 255 (2013), no. 5, 951–977 Article
  18.  Ros, Antonio Minimal surfaces. (Spanish) Florentino García Santos: in memoriam, 171–176, Ed. Univ. Granada, Granada, 2011
  19.  Ros, Antonio; Rosenberg, Harold Properly embedded surfaces with constant mean curvature. Amer. J. Math. 132 (2010), no. 6, 1429–1443
  20. Morgan, Frank; Ros, Antonio Stable constant-mean-curvature hypersurfaces are area minimizing in small L^1 neighborhoods. Interfaces Free Bound.12 (2010), no. 2, 151–155 Article
  21. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio Limit leaves of an H lamination are stable. J. Differential Geom.84 (2010), no. 1, 179–189 Article
  22.  Montiel, Sebastián; Ros, Antonio Curves and surfaces. Second edition. Translated from the 1998 Spanish original by Montiel and edited by Donald Babbitt. Graduate Studies in Mathematics, 69. American Mathematical Society, Providence, RI; Real Sociedad Matemática Española, Madrid, 2009. xvi+376 pp. ISBN: 978-0-8218-4763-3 Article
  23.  Ros, A. Stability of minimal and constant mean curvature surfaces with free boundary. Mat. Contemp. 35 (2008), 221–240
  24.  Meeks, William H., III; Pérez, Joaquín; Ros, Antonio Stable constant mean curvature surfaces. Handbook of geometric analysis. No. 1, 301–380, Adv. Lect. Math. (ALM), 7, Int. Press, Somerville, MA, 2008 Article
  25. Ros, Antonio Stable periodic constant mean curvature surfaces and mesoscopic phase separation. Interfaces Free Bound. 9 (2007), no. 3, 355–365 Article
  26. Ros, Antonio Properly embedded minimal surfaces with finite topology. International Congress of Mathematicians. Vol. II, 907–926, Eur. Math. Soc., Zürich, 2006
  27. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio Liouville-type properties for embedded minimal surfaces. Comm. Anal. Geom. 14 (2006), no. 4, 703–723 Article
  28.  Ros, Antonio One-sided complete stable minimal surfaces. J. Differential Geom. 74 (2006), no. 1, 69–92 Article
  29. Ros, Antonio The isoperimetric problem. Global theory of minimal surfaces, 175–209, Clay Math. Proc., 2, Amer. Math. Soc., Providence, RI, 2005
  30.  Montiel, Sebastián; Ros, Antonio Curves and surfaces. Translated and updated from the 1998 Spanish edition by the authors. Graduate Studies in Mathematics, 69. American Mathematical Society, Providence, RI; Real Sociedad Matemática Española, Madrid, 2005. xiv+376 pp. ISBN: 0-8218-3815-6 Article
  31. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio The geometry of minimal surfaces of finite genus. I. Curvature estimates and quasiperiodicity. J. Differential Geom. 66 (2004), no. 1, 1–45 Article
  32. Meeks, William H., III; Pérez, Joaquin; Ros, Antonio The geometry of minimal surfaces of finite genus. II. Nonexistence of one limit end examples. Invent. Math. 158 (2004), no. 2, 323–341 Article
  33. Ros, Antonio Isoperimetric inequalities in crystallography. J. Amer. Math. Soc. 17 (2004), no. 2, 373–388 Article
  34. Hauswirth, Laurent; Pérez, Joaquín; Romon, Pascal; Ros, Antonio The periodic isoperimetric problem. Trans. Amer. Math. Soc. 356 (2004), no. 5, 2025–2047 Article
  35.  Pérez, Joaquin; Ros, Antonio Properly embedded minimal annuli bounded by a convex curve. J. Inst. Math. Jussieu 1 (2002), no. 2, 293–305 Article
  36. Ritoré, Manuel; Ros, Antonio Some updates on isoperimetric problems. Math. Intelligencer 24 (2002), no. 3, 9–14 Article
  37. Ros, Antonio The Gauss map of minimal surfaces. Differential geometry, Valencia, 2001, 235–252, World Sci. Publ., River Edge, NJ, 2002
  38. Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio Proof of the double bubble conjecture. Ann. of Math. (2) 155 (2002), no. 2, 459–489 Article
  39.  Pérez, Joaquín; Ros, Antonio Properly embedded minimal surfaces with finite total curvature. The global theory of minimal surfaces in flat spaces (Martina Franca, 1999), 15–66, Lecture Notes in Math., 1775, Fond. CIME/CIME Found. Subser., Springer, Berlin, 2002 Article
  40.  Meeks, W. H., III; Ros, A.; Rosenberg, H. The global theory of minimal surfaces in flat spaces. Lectures given at the 2nd C.I.M.E. Session held in Martina Franca, July 7–14, 1999. Edited by Gian Pietro Pirola. Lecture Notes in Mathematics, 1775. Fondazione CIME/CIME Foundation Subseries. Springer-Verlag, Berlin; Centro Internazionale Matematico Estivo (C.I.M.E.), Florence, 2002. x+111 pp. ISBN: 3-540-43120-9
  41. Cosín, Claudio; Ros, Antonio A Plateau problem at infinity for properly immersed minimal surfaces with finite total curvature. Indiana Univ. Math. J. 50 (2001), no. 2, 847–879 Article
  42.  Ros, Antonio The isoperimetric and Willmore problems. Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao, 2000), 149–161, Contemp. Math., 288, Amer. Math. Soc., Providence, RI, 2001 Article
  43.  Hutchings, Michael; Morgan, Frank; Ritore, Manuel; Ros, Antonio Proof of the double bubble conjecture. Electron. Res. Announc. Amer. Math. Soc. 6 (2000), 45–49 Article
  44. do Carmo, Manfredo; Ritoré, Manuel; Ros, Antonio Compact minimal hypersurfaces with index one in the real projective space. Comment. Math. Helv. 75 (2000), no. 2, 247–254 Article
  45.  Ros, Antonio The Willmore conjecture in the real projective space. Math. Res. Lett. 6 (1999), no. 5-6, 487–493 Article
  46.  Pérez, Joaquín; Ros, Antonio The space of complete minimal surfaces with finite total curvature as Lagrangian submanifold. Trans. Amer. Math. Soc. 351 (1999), no. 10, 3935–3952 Article
  47. Meeks, William H., III; Pérez, Joaquín; Ros, Antonio Uniqueness of the Riemann minimal examples. Invent. Math. 133 (1998), no. 1, 107–132 Article
  48. Ros, Antonio; Urbano, Francisco Lagrangian submanifolds of \mathbb{C}^n with conformal Maslov form and the Whitney sphere. J. Math. Soc. Japan50 (1998), no. 1, 203–226 Article
  49. El Soufi, Ahmad; Ilias, Saïd; Ros, Antonio Sur la première valeur propre des tores. (French) [On the first eigenvalue of the torus] Séminaire de Théorie Spectrale et Géométrie, No. 15, Année 1996–1997, 17–23, Sémin. Théor. Spectr. Géom., 15,Univ. Grenoble I, Saint-Martin-d’Hères, [1997]
  50. Ros, Antonio; Souam, Rabah On stability of capillary surfaces in a ball. Pacific J. Math. 178 (1997), no. 2, 345–361 Article
  51. Ros, Antonio; Rosenberg, Harold Constant mean curvature surfaces in a half-space of \mathbb{R}^3 with boundary in the boundary of the half-space. J. Differential Geom.44 (1996), no. 4, 807–817 Article
  52.  Pérez, Joaquín; Ros, Antonio Properly embedded minimal surfaces with finite total curvature. Geometry and topology of submanifolds, VIII (Brussels, 1995/Nordfjordeid, 1995), 280–281, World Sci. Publ., River Edge, NJ, 1996
  53.  Pérez, Joaquín; Ros, Antonio The space of properly embedded minimal surfaces with finite total curvature. Indiana Univ. Math. J. 45 (1996), no. 1, 177–204 Article
  54. Ros, Antonio Embedded minimal surfaces: forces, topology and symmetries. Calc. Var. Partial Differential Equations 4 (1996), no. 5, 469–496 Article
  55. Ritoré, Manuel; Ros, Antonio The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds. Trans. Amer. Math. Soc. 348 (1996), no. 1, 391–410 Article
  56.  Ros, Antonio A two-piece property for compact minimal surfaces in a three-sphere. Indiana Univ. Math. J. 44 (1995), no. 3, 841–849 Article
  57.  Ros, Antonio; Vergasta, Enaldo Stability for hypersurfaces of constant mean curvature with free boundary. Geom. Dedicata 56 (1995), no. 1, 19–33 Article
  58. Ros, Antonio Compactness of spaces of properly embedded minimal surfaces with finite total curvature. Indiana Univ. Math. J. 44 (1995), no. 1, 139–152 Article
  59. Pérez, Joaquín; Ros, Antonio Some uniqueness and nonexistence theorems for embedded minimal surfaces. Math. Ann. 295 (1993), no. 3, 513–525 Article
  60.  Ritoré, Manuel; Ros, Antonio Stable constant mean curvature tori and the isoperimetric problem in three space forms. Comment. Math. Helv. 67 (1992), no. 2, 293–305 Article
  61.  Montiel, Sebastián; Ros, Antonio Schrödinger operators associated to a holomorphic map. Global differential geometry and global analysis (Berlin, 1990), 147–174, Lecture Notes in Math., 1481, Springer, Berlin, 1991 Article
  62.  Montiel, Sebastián; Ros, Antonio Compact hypersurfaces: the Alexandrov theorem for higher order mean curvatures. Differential geometry, 279–296, Pitman Monogr. Surveys Pure Appl. Math., 52, Longman Sci. Tech., Harlow, 1991
  63.  López, Francisco J.; Ros, Antonio On embedded complete minimal surfaces of genus zero. J. Differential Geom. 33 (1991), no. 1, 293–300 Article
  64.  López, Francisco J.; Ros, Antonio Complete minimal surfaces with index one and stable constant mean curvature surfaces. Comment. Math. Helv. 64 (1989), no. 1, 34–43 Article
  65.  Ros, Antonio Compact hypersurfaces with constant scalar curvature and a congruence theorem. With an appendix by Nicholas J. Korevaar. J. Differential Geom. 27 (1988), no. 2, 215–223 Article
  66.  Ros, Antonio Compact hypersurfaces with constant higher order mean curvatures. Rev. Mat. Iberoamericana 3 (1987), no. 3-4, 447–453 Article
  67. Ros, Antonio Théorèmes globaux pour les hypersurfaces. (French) [Global theorems for hypersurfaces] Confer. Sem. Mat. Univ. BariNo. 223(1987), 8 pp
  68. Ros, Antonio Kaehler submanifolds in the complex projective space. Differential geometry, Peñíscola 1985, 259–274, Lecture Notes in Math., 1209, Springer, Berlin, 1986 Article
  69. Montiel, Sebastián; Ros, Antonio; Urbano, Francisco Curvature pinching and eigenvalue rigidity for minimal submanifolds. Math. Z. 191 (1986), no. 4, 537–548 Article
  70. Montiel, Sebastián; Ros, Antonio Minimal immersions of surfaces by the first eigenfunctions and conformal area. Invent. Math. 83 (1986), no. 1, 153–166 Article
  71. Ros, Antonio; Verheyen, Paul; Verstraelen, Leopold Positively curved minimal submanifolds. Global differential geometry and global analysis 1984 (Berlin, 1984), 280–295, Lecture Notes in Math., 1156, Springer, Berlin, 1985 Article
  72.  Ros, Antonio A characterization of seven compact Kaehler submanifolds by holomorphic pinching. Ann. of Math. (2) 121 (1985), no. 2, 377–382 Article
  73.  Ros, Antonio Positively curved Kaehler submanifolds. Proc. Amer. Math. Soc. 93 (1985), no. 2, 329–331 Article
  74.  Barros, M.; Ros, A. Spectral geometry of submanifolds. Note Mat. 4 (1984), no. 1, 1–56
  75. Martínez, A.; Ros, A. On real hypersurfaces of finite type of CP^m. Kodai Math. J.7 (1984), no. 3, 304–316 Article
  76. Ros, Antonio Eigenvalue inequalities for minimal submanifolds and P-manifolds. Math. Z.187 (1984), no. 3, 393–404 Article
  77.  Ros, Antonio; Verstraelen, Leopold On a conjecture of K. Ogiue. J. Differential Geom. 19 (1984), no. 2, 561–566 Article
  78.  Ros, A. Spectral geometry of submanifolds in the complex projective space. Differential geometry (Peñíscola, 1982), 182–185, Lecture Notes in Math., 1045, Springer, Berlin, 1984 Article
  79.  Ros, Antonio On spectral geometry of Kaehler submanifolds. J. Math. Soc. Japan 36 (1984), no. 3, 433–448 Article
  80.  Ros, Antonio Spectral geometry of CR-minimal submanifolds in the complex projective space. Kodai Math. J. 6 (1983), no. 1, 88–99 Article