{"id":41,"date":"2013-12-09T12:26:06","date_gmt":"2013-12-09T12:26:06","guid":{"rendered":"http:\/\/wdb.ugr.es\/~jperez\/?page_id=41"},"modified":"2026-02-06T08:59:28","modified_gmt":"2026-02-06T07:59:28","slug":"publications-by-joaquin-perez","status":"publish","type":"page","link":"https:\/\/wpd.ugr.es\/~jperez\/publications-by-joaquin-perez\/","title":{"rendered":"Publicaciones"},"content":{"rendered":"

Published papers and books<\/h3>\n
    \n
  1. Joaqu\u00edn P\u00e9rez & Antonio Ros, SOME UNIQUENESS AND NONEXISTENCE THEOREMS FOR EMBEDDED MINIMAL SURFACES, Mathematische Annalen, vol 295 (1993) 513-525 pdf<\/strong><\/a>\u00a0(151 KB).<\/li>\n
  2. Joaqu\u00edn P\u00e9rez & Antonio Ros, THE SPACE OF PROPERLY EMBEDDED MINIMAL SURFACES WITH FINITE TOTAL CURVATURE, Indiana University Mathematical Journal, vol. 45 Number 1 (1996) 177-204 pdf<\/strong><\/a>\u00a0(264 KB).<\/span><\/li>\n
  3. Joaqu\u00edn P\u00e9rez, ON SINGLY PERIODIC MINIMAL SURFACES WITH PLANAR ENDS, Transactions of the AMS, vol. 349 Number 6 (1997) 2371-2389\u00a0pdf<\/strong><\/a>(259 KB).<\/strong><\/li>\n
  4. Joaqu\u00edn P\u00e9rez, RIEMANN BILINEAR RELATIONS ON MINIMAL SURFACES, Mathematische annalen, vol. 310 (1998) 307-332\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(268 KB).<\/strong><\/li>\n
  5. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, UNIQUENESS OF THE RIEMANN MINIMAL EXAMPLES, Inventiones Mathematicae, vol. 131 (1998) 107-132\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(281 KB).<\/strong><\/li>\n
  6. Joaqu\u00edn P\u00e9rez, A RIGIDITY THEOREM FOR PERIODIC MINIMAL SURFACES, Communications in Analysis and Geometry, vol. 7 Number 1 (1999) 95-104\u00a0<\/span>pdf<\/strong><\/a>(125 KB).<\/strong><\/li>\n
  7. Joaqu\u00edn P\u00e9rez & Antonio Ros, THE SPACE OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE AS LAGRANGIAN SUBMANIFOLD, Transactions of the AMS, vol. 351 Number 10 (1999) 3935-3952\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(212 KB).<\/strong><\/li>\n
  8. Laurent Hauswirth, Joaqu\u00edn P\u00e9rez & Pascal Romon, EMBEDDED MINIMAL ENDS OF FINITE TYPE, Transactions of the AMS, vol. 353 Number 4 (2001) 1335-1370\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(449 KB).<\/strong><\/li>\n
  9. Joaqu\u00edn P\u00e9rez & Antonio Ros, PROPERLY EMBEDDED MINIMAL SURFACES WITH FINITE TOTAL CURVATURE, in THE GLOBAL THEORY OF MINIMAL SURFACES IN FLAT SPACES, Lecture Notes in Mathematics, Springer-Verlag Vol. 1775 (2002) 15-66\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(850 KB).<\/strong><\/li>\n
  10. Joaqu\u00edn P\u00e9rez & Antonio Ros, PROPERLY EMBEDDED MINIMAL ANNULI BOUNDED BY A CONVEX CURVE, Journal de l’Institut Math\u00e9matique de Jussieu, vol. 1 Number 2 (2002) 293-305\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(174 KB).<\/strong><\/li>\n
  11. Francisco J. L\u00f3pez & Joaqu\u00edn P\u00e9rez, PARABOLICITY AND GAUSS MAP OF MINIMAL SURFACES, Indiana University Mathematical Journal, vol. 4 Number 52 (2003) 1017-1026\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(143 KB).<\/strong><\/li>\n
  12. Francisco Mart\u00edn & Joaqu\u00edn P\u00e9rez, SUPERFICIES MINIMALES FOLIADAS POR CIRCUNFERENCIAS: LOS EJEMPLOS DE RIEMANN, Gaceta de la R.S.M.E. Vol. 6 Number 3 (2003) 571-596\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(4568 KB).<\/strong><\/li>\n
  13. Laurent Hauswirth, Joaqu\u00edn P\u00e9rez, Pascal Romon & Antonio Ros, THE PERIODIC ISOPERIMETRIC PROBLEM, Transactions of the AMS, vol. 356 (2004) 2025-2047\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(433 KB).<\/strong><\/li>\n
  14. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, THE GEOMETRY OF MINIMAL SURFACES OF FINITE GENUS I; CURVATURE ESTIMATES AND QUASIPERIODICITY, Journal of Differential Geometry, vol. 66 (2004) 1-45\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(447 KB).<\/strong><\/li>\n
  15. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, THE GEOMETRY OF MINIMAL SURFACES OF FINITE GENUS II; NONEXISTENCE OF ONE LIMIT END EXAMPLES, Inventiones Mathematicae, vol. 158 (2004) 323-341\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(176 KB).<\/strong><\/li>\n
  16. William H. Meeks III & Joaqu\u00edn P\u00e9rez, CONFORMAL PROPERTIES IN CLASSICAL MINIMAL SURFACE THEORY, in Surveys in Differential Geometry, Volume IX (2004): Eigenvalues of Laplacians and other geometric operators. Pages 275-335, DOI: https:\/\/dx.doi.org\/10.4310\/SDG.2004.v9.n1.a8.
    \nEditors: Alexander Grigor’yan and S. T. Yau, International Press. ISBN: 1-57146-115-9.\u00a0<\/span>    pdf<\/strong><\/a>\u00a0<\/span>(557 KB).<\/strong><\/li>\n
  17. Joaqu\u00edn P\u00e9rez, Magdalena Rodr\u00edguez & Martin Traizet, THE CLASSIFICATION OF DOUBLY PERIODIC MINIMAL TORI WITH PARALLEL ENDS, Journal of Differential Geometry, vol. 69 Number 3 (2005) 523-577\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(1,29 MB).<\/strong><\/li>\n
  18. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, LIOUVILLE TYPE PROPERTIES FOR EMBEDDED MINIMAL SURFACES, Communications in Analysis and Geometry, vol 14 Number 4 (2006) 703-723\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(164 KB).<\/strong><\/li>\n
  19. Joaqu\u00edn P\u00e9rez & Martin Traizet, THE CLASSIFICATION OF SINGLY PERIODIC MINIMAL SURFACES WITH GENUS ZERO AND SCHERK TYPE ENDS, Transactions of the AMS, vol 359 number 3 (2007) 965-990\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(692 KB).<\/strong><\/li>\n
  20. Joaqu\u00edn P\u00e9rez, STABLE EMBEDDED MINIMAL SURFACES BOUNDED BY A STRAIGHT LINE, Calculus of Variations and Partial Differential Equations, vol. 29 Number 2 (2007) 267-279\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(418 KB).<\/strong><\/li>\n
  21. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, STABLE CONSTANT MEAN CURVATURE SURFACES, in Handbook of Geometric Analysis n\u00ba 1 (2008). Editors: Lizhen Ji, Peter Li, Richard Schoen, Leon Simon. International Press. ISBN: 978-1-57146-130-8\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(1,7 MB).<\/strong><\/li>\n
  22. William H. Meeks III & Joaqu\u00edn P\u00e9rez, PROPERLY EMBEDDED MINIMAL PLANAR DOMAINS WITH INFINITE TOPOLOGY ARE RIEMANN MINIMAL EXAMPLES, Current Developments in Mathematics 2008, Editors: David Jenson, Barry Mazur, Tornasz Mrowka, Wilfried Schmid, Richard P. Stanley, Shing-Tung Yau. International Press. ISBN -13: 978-1-57146-139-1. https:\/\/dx.doi.org\/10.4310\/CDM.2008.v2008.n1.a4\u00a0<\/span>Arxiv pdf<\/strong><\/a>\u00a0<\/span>(695 KB).<\/strong><\/li>\n
  23. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, LIMIT LEAVES OF AN H-LAMINATION ARE STABLE, Journal of Differential Geometry, vol. 84 (2010) 179-189\u00a0<\/span> Arxiv link<\/strong><\/a>\u00a0<\/span>(310 KB).<\/strong><\/li>\n
  24. J. Miguel Manzano, Joaqu\u00edn P\u00e9rez & M. Magdalena Rodr\u00edguez, PARABOLIC STABLE SURFACES WITH CONSTANT MEAN CURVATURE, Calculus of Variations and Partial Differential Equations, vol. 42 (2011) 137-152\u00a0<\/span>Arxiv link<\/strong><\/a>\u00a0<\/span>(465 KB).<\/strong><\/li>\n
  25. William H. Meeks III & Joaqu\u00edn P\u00e9rez, THE CLASSICAL THEORY OF MINIMAL SURFACES, Bulletin of the AMS, vol. 48 (2011) 325-407\u00a0<\/span>pdf<\/strong><\/a>(3 MB).<\/strong><\/li>\n
  26. Joaqu\u00edn P\u00e9rez, SINH-GORDON TYPE EQUATIONS FOR CMC SURFACES, Florentino Garc\u00eda Santos: In memoriam, Universidad de Granada\u00a0(2011) <\/span>pdf<\/strong><\/a>(330 KB).<\/strong><\/li>\n
  27. William H. Meeks III, Joaqu\u00edn P\u00e9rez, A SURVEY ON CLASSICAL MINIMAL SURFACE THEORY, University Lecture Series (AMS) vol. 60 (2012) 182 pages. ISBN: 978-0-82\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(3,5 MB).<\/strong><\/li>\n
  28. William H. Meeks III & Joaqu\u00edn P\u00e9rez, CONSTANT MEAN CURVATURE SURFACES IN METRIC LIE GROUPS, in \u00bbGeometric Analysis: Partial Differential Equations and Surfaces\u00bb, Contemporary Mathematics (AMS) vol. 570 (2012) 25-110\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(2.142 KB).<\/strong><\/li>\n
  29. William H. Meeks III, Pablo Mira, Joaqu\u00edn P\u00e9rez & Antonio Ros, ISOPERIMETRIC DOMAINS OF LARGE VOLUME IN HOMOGENEOUS THREE-MANIFOLDS,\u00a0Advances in Mathematics, vol 264 (2014) 546\u2013592,\u00a0Arxiv link<\/strong><\/a>\u00a0<\/span>(702 KB).<\/strong><\/li>\n
  30. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, PROPERLY EMBEDDED MINIMAL PLANAR DOMAINS, Annals of Mathematics, \u00a0vol. 181 no. 2 (2015)\u00a0473-546<\/span>,\u00a0Arxiv link<\/strong><\/a>\u00a0(1,1 MB).<\/strong><\/li>\n
  31. William H. Meeks III & Joaqu\u00edn P\u00e9rez, CMC FOLIATIONS OF CLOSED MANIFOLDS,\u00a0The Journal of Geometric Analysis, vol. 26 no. 3 (July 2016) 1647-1677, Arxiv link<\/strong><\/a>, https:\/\/rdcu.be\/6yOH<\/a><\/li>\n
  32. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, LOCAL REMOVABLE SINGULARITY THEOREMS FOR MINIMAL LAMINATIONS, Journal of Differential Geometry,\u00a0vol. 103 (2016) 319-362, Arxiv link<\/strong><\/a>\u00a0(536 KB).<\/strong><\/li>\n
  33. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, THE DYNAMICS THEOREM FOR PROPERLY EMBEDDED MINIMAL SURFACES, Matematische Annalen, vol. 365, no. 3 (August 2016) 1069-1089<\/span>Arxiv link<\/strong><\/a>\u00a0<\/span>(549 KB), https:\/\/rdcu.be\/56NO<\/a><\/strong><\/li>\n
  34. William H. Meeks III & Joaqu\u00edn P\u00e9rez, THE RIEMANN MINIMAL EXAMPLES. Chapter in the book ‘The Legacy of Bernhard Riemann After One Hundred and Fifty Years’, Advanced Lectures in Mathematics\u00a0n\u00ba 35 (2016) 417-457, Higher Education Press (Beijing) and International Press\u00a0(Boston). \u00a0ISBN: 978-704-031875-3. Edited by Lizhen Ji, Frans Oort and Shing-Tung Yau. <\/span>pdf<\/a>\u00a0(<\/strong>533 KB).<\/strong><\/li>\n
  35. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, THE CLASSIFICATION OF CMC FOLIATIONS OF \\(\\mathbb{R}^3\\) AND \\(\\mathbb{S}^3\\) WITH COUNTABLY MANY SINGULARITIES, American Journal of Mathematics, vol. 138, no. 5 (2016) 1347-1382, <\/span>Arxiv link<\/strong><\/a>\u00a0<\/span><\/li>\n
  36. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Giuseppe Tinaglia, CONSTANT MEAN CURVATURE SURFACES, Surveys in Differential Geometry, vol 21 (2016) 179-287, International Press, <\/span>pdf<\/strong><\/a>\u00a0<\/span>(2,9 MB).<\/strong><\/li>\n
  37. Joaqu\u00edn P\u00e9rez, UNA NUEVA EDAD DE ORO DE LAS SUPERFICIES MINIMAS, Gaceta de la RSME, vol. 20, no. 5 (2017) 193-211, pdf<\/strong><\/a>\u00a0(151 KB).<\/li>\n
  38. Joaqu\u00edn P\u00e9rez, A NEW GOLDEN AGE OF MINIMAL SURFACES, Notices of the AMS, vol. 64, no. 4 (2017) 347-358, pdf<\/strong><\/a>\u00a0(1,9 MB).<\/li>\n
  39. William H. Meeks III & Joaqu\u00edn P\u00e9rez, FINITE TYPE ANNULAR ENDS FOR HARMONIC FUNCTIONS,\u00a0Mathematische Annalen, vol. 367, no. 3 (2017) 1047-1056. DOI:10.1007\/s00208-016-1407-0. <\/span>Arxiv link<\/strong><\/a>\u00a0<\/span>(447 KB), https:\/\/rdcu.be\/56PT<\/a> <\/strong><\/li>\n
  40. William H. Meeks III, Pablo Mira & Joaqu\u00edn P\u00e9rez, EMBEDDEDNESS OF SPHERES IN HOMOGENEOUS THREE-MANIFOLDS,\u00a0International Mathematics Research Notices, vol. 2017, no. 15 (2017) 4796\u20134813. Advance Access Publication July 20, 2016 DOI: 10.1093\/imrn\/rnw159, <\/span>online version<\/strong><\/a>, Arxiv link<\/strong><\/a>\u00a0<\/span><\/li>\n
  41. William H. Meeks III & Joaqu\u00edn P\u00e9rez, FINITE TOPOLOGY MINIMAL SURFACES IN HOMOGENEOUS THREE-MANIFOLDS,\u00a0Advances in Mathematics, vol. 312 (2017) 185-197 (https:\/\/doi.org\/10.1016\/j.aim.2017.03.015), Arxiv link<\/strong><\/a><\/li>\n
  42. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, THE LOCAL PICTURE THEOREM ON THE SCALE OF TOPOLOGY,\u00a0Journal of Differential Geometry, vol. 109, no. 3 (2018) 509-565, <\/span>Arxiv link<\/a>\u00a0(<\/strong>937 KB).<\/strong><\/li>\n
  43. William H. Meeks III & Joaqu\u00edn P\u00e9rez, EMBEDDED MINIMAL SURFACES OF FINITE TOPOLOGY,\u00a0Journal f\u00fcr Reine und Angewandte Mathematik, vol. 753 (2019) 159-191 (DOI: 10.1515\/crelle-2017-0008), Arxiv link<\/strong><\/a><\/li>\n
  44. William H. Meeks III, Pablo Mira & Joaqu\u00edn P\u00e9rez, THE GEOMETRY OF STABLE MINIMAL SURFACES IN METRIC LIE GROUPS,\u00a0Transactions of the AMS, vol. 372, no. 2 (2019) 1023-1056. DOI: https:\/\/doi.org\/10.1090\/tran\/7634, Arxiv link<\/a><\/strong><\/li>\n
  45. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, STRUCTURE THEOREMS FOR SINGULAR MINIMAL LAMINATIONS,\u00a0Journal f\u00fcr die Reine und Angewandte Mathematik (Crelles Journal), vol. 2020, no. 763, 2020, pp. 271-312, DOI: 10.1515\/crelle-2018-0036, <\/span>Arxiv link<\/strong><\/a>\u00a0<\/span><\/li>\n
  46. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, BOUNDS ON THE TOPOLOGY AND INDEX OF MINIMAL SURFACES,\u00a0Acta Mathematica, vol. 223 (2019) 113\u2013149. DOI: 10.4310\/ACTA.2019.v223.n1.a2 <\/span>Arxiv link<\/a><\/strong><\/li>\n
  47. William H. Meeks III, Pablo Mira, Joaqu\u00edn P\u00e9rez & Antonio Ros, CONSTANT MEAN CURVATURE SPHERES IN HOMOGENEOUS THREE-SPHERES, Journal of Differential Geometry, vol. 120, No. 2 (2022) 307-343. DOI 10.4310\/jdg\/1645207520<\/a> <\/span> Arxiv link<\/strong><\/a>\u00a0<\/span><\/li>\n
  48. William H. Meeks III, Pablo Mira, Joaqu\u00edn P\u00e9rez & Antonio Ros, CONSTANT MEAN CURVATURE SPHERES IN HOMOGENEOUS THREE-MANIFOLDS,\u00a0Inventiones Mathematicae, vol. 224 (2021) 147\u2013244. DOI https:\/\/doi.org\/10.1007\/s00222-020-01008-y Full-text (open access) version<\/a>, HTML version<\/a><\/span><\/li>\n
  49. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, THE EMBEDDED CALABI-YAU CONJECTURE FOR FINITE GENUS, Duke Math. J. 170(13) (2021) 2891-2956. DOI: 10.1215\/00127094-2020-0087<\/a>. <\/span>Arxiv link<\/a><\/strong><\/li>\n
  50. David Moya & Joaqu\u00edn P\u00e9rez, GENERALIZED HENNEBERG STABLE MINIMAL SURFACES, Results in Mathematics, https:\/\/doi.org\/10.1007\/s00025-022-01831-0<\/a>. ArXiv link<\/strong><\/a><\/span><\/li>\n
  51. William H. Meeks III & Joaqu\u00edn P\u00e9rez, HIERARCHY STRUCTURES IN FINITE INDEX CMC SURFACES, Advances in Calculus of Variations, 2023. https:\/\/doi.org\/10.1515\/acv-2022-0113<\/a>. Arxiv link<\/strong><\/a><\/span><\/li>\n
  52. William H. Meeks III & Joaqu\u00edn P\u00e9rez, GEOMETRY OF CMC SURFACES OF FINITE INDEX, Advanced Nonlinear Studies, vol. 23, no. 1, 2023, pp. 20220063. https:\/\/doi.org\/10.1515\/ans-2022-0063 Golden open access link<\/a><\/span><\/li>\n
  53. Pablo Mira & Joaqu\u00edn P\u00e9rez, UNIQUENESS OF CONSTANT MEAN CURVATURE SPHERES, in NEW TRENDS IN GEOMETRIC ANALYSIS, Spanish Network of Geometric Analysis 2007-2021, RSME-Springer Nature series, vol. 10. (2023) 365-393. https:\/\/doi.org\/10.1007\/978-3-031-39916-9<\/a><\/li>\n
  54. William H. Meeks III & Joaqu\u00edn P\u00e9rez, GEOMETRY OF BRANCHED MINIMAL SURFACES OF FINITE INDEX, Advanced Nonlinear Studies, vol. 24 no. 1, 2024, 206-221. Special issue in honor of Joel Spruck. https:\/\/doi.org\/10.1515\/ans-2023-0118<\/a>. Arxiv link<\/a><\/span><\/li>\n<\/ol>\n

    Preprints, work in progress<\/h3>\n
      \n
    1. Jos\u00e9 M. Espinar, Joaqu\u00edn P\u00e9rez, GENUS TWO EMBEDDED MINIMAL SURFACES IN \\(\\mathbb{S}^3\\) WITH BIDIHEDRAL SYMMETRY<\/span><\/li>\n
    2. Jos\u00e9 M. Espinar, Joaqu\u00edn P\u00e9rez, FREE BOUNDARY MINIMAL SURFACES WITH ANTIPRISMATIC SYMMETRY AND ONE BOUNDARY COMPONENT (work in progress)<\/span><\/li>\n
    3. William H. Meeks III & Joaqu\u00edn P\u00e9rez, CMC FOLIATIONS OF COMPACT THREE-MANIFOLDS (work in progress)<\/span><\/li>\n
    4. Jos\u00e9 M. Espinar, Jos\u00e9 A. G\u00e1lvez & Joaqu\u00edn P\u00e9rez, FREE BOUNDARY MINIMAL SURFACES WITH ANTIPRISMATIC SYMMETRY AND ONE BOUNDARY COMPONENT (work in progress)<\/span><\/li>\n
    5. William H. Meeks III & Joaqu\u00edn P\u00e9rez, CMC FOLIATIONS OF COMPACT THREE-MANIFOLDS (work in progress)<\/span><\/li>\n
    6. William H. Meeks III & Joaqu\u00edn P\u00e9rez, CLASSICAL MINIMAL SURFACES IN HOMOGENEOUS THREE-MANIFOLDS (work in progress)<\/span><\/li>\n
    7. William H. Meeks III, Joaqu\u00edn P\u00e9rez & Antonio Ros, MINIMAL SURFACES WHOSE GAUSS MAP MISSES FOUR POINTS (work in progress)<\/span><\/li>\n<\/ol>\n

      Proceedings in Conferences<\/h3>\n
        \n
      1. Joaqu\u00edn P\u00e9rez & Antonio Ros, PROPERLY EMBEDDED MINIMAL SURFACES WITH FINITE TOTAL CURVATURE, Proceedings of the 1995 Conference \u00abGeometry and topology of submanifolds VIII\u00bb World Scientific (1996) 280-281.<\/li>\n
      2. Joaqu\u00edn P\u00e9rez, STRONG RIGIDITY AND PERIODIC MINIMAL SURFACES, Proceedings of the 1997 Conference \u00ab1st International Meeting on Geometry and Topology\u00bb A. Pereira do Vale & M. R Pinto (Ed.) (1998) 169-173.<\/span><\/li>\n
      3. Joaqu\u00edn P\u00e9rez, PARABOLICITY AND MINIMAL SURFACES, Proceedings of The Clay Mathematics Institute 2001 Summer School \u00abThe global theory of minimal surfaces\u00bb, Mathematical Sciences Research Institute, Berkeley (California) Editor: David Hoffman ISBN: 9780821835876 pags. 163-174.\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(214 KB).<\/strong><\/li>\n
      4. Joaqu\u00edn P\u00e9rez, UNIQUENESS OF THE RIEMANN MINIMAL SURFACES, Proceedings of The Clay Mathematics Institute 2001 Summer School \u00abThe global theory of minimal surfaces\u00bb, Mathematical Sciences Research Institute, Berkeley (California) Editor: David Hoffman ISBN: 9780821835876 pags 697-610.\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(276 KB).<\/strong><\/li>\n
      5. Joaqu\u00edn P\u00e9rez, LIMITS BY RESCALING OF MINIMAL SURFACES: MINIMAL LAMINATIONS, CURVATURE DECAY AND LOCAL PICTURES, notes for the workshop \u00abModuli Spaces of Properly Embedded Minimal Surfaces\u00bb, American Institute of Mathematics, Palo Alto, California (2005)<\/span>pdf<\/strong><\/a>\u00a0<\/span>(726 KB).<\/strong><\/li>\n
      6. Joaqu\u00edn P\u00e9rez, EXTINCION EN TIEMPO FINITO DEL FLUJO DE RICCI, notas para la Escuela avanzada sobre la Conjetura de Poincar\u00e9, Granada (2007)\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(473 KB).<\/strong><\/li>\n
      7. Joaqu\u00edn P\u00e9rez, MINIMAL SURFACES OF FINITE GENUS: CLASSIFICATION, DYNAMICS AND LAMINATIONS, Proceedings of the 2026 International Congress of Mathematics. PDF<\/a><\/li>\n<\/ol>\n

        Slides of talks<\/h3>\n
          \n
        1. Joaqu\u00edn P\u00e9rez, INTRODUCTION TO SURFACE THEORY IN METRIC LIE GROUPS, doc-Course in the Advanced School \u00abSubmanifold Theory and Applications\u00bb, IMUS 2011\u00a0pdf<\/strong><\/a>\u00a0(2,67 MB).<\/strong><\/li>\n<\/ol>\n

          Others<\/h3>\n
            \n
          1. Joaqu\u00edn P\u00e9rez, SUPERFICIES MINIMALES EN R^3, Tesis Doctoral – Universidad de Granada (1996).<\/li>\n
          2. Joaqu\u00edn P\u00e9rez, NOTAS SOBRE GEOMETRIA RIEMANNIANA GLOBAL (2000).<\/span><\/li>\n
          3. Joaqu\u00edn P\u00e9rez, APUNTES DE GEOMETRIA RIEMANNIANA (2004). Correspondientes a la asignatura optativa de 2\u00ba ciclo \u00abGeometr\u00eda Riemanniana\u00bb (4\u00ba curso de la Licenciatura de Matem\u00e1ticas de la UGR, 1er cuatrimestre), impartida durante el per\u00edodo 2004-2007.\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(850 KB).<\/strong>Nota: El formato actual de la asignatura podr\u00eda no coincidir con estos apuntes.<\/span><\/li>\n
          4. Joaqu\u00edn P\u00e9rez, APUNTES DE GEOMETRIA y TOPOLOGIA (2007). Correspondientes a la asignatura obligatoria de 2\u00ba ciclo \u00abGeometr\u00eda y Topolog\u00eda\u00bb (4\u00ba curso\u00a0de la Licenciatura de Matem\u00e1ticas de la UGR), impartida durante el per\u00edodo 2008-2010.\u00a0<\/span>pdf<\/strong><\/a>\u00a0<\/span>(1,1 MB).<\/strong>\u00a0Nota: El formato actual de la asignatura podr\u00eda no coincidir con estos apuntes.<\/span><\/li>\n
          5. Joaqu\u00edn P\u00e9rez, APUNTES DE GEOMETRIA DE CONVEXOS (2013). Correspondientes a la asignatura optativa de 2\u00ba ciclo \u00abGeometr\u00eda de Convexos\u00bb (5\u00ba curso de la Licenciatura de Matem\u00e1ticas de la UGR, 1er cuatrimestre), impartida durante el per\u00edodo 2012-2014. <\/span>pdf<\/strong><\/a>\u00a0<\/span>(1,1 MB).<\/strong><\/span><\/li>\n
          6. Joaqu\u00edn P\u00e9rez, APUNTES DE CURVAS Y SUPERFICIES (2017). Correspondientes a la asignatura obligatoria de 2\u00ba curso \u00abCurvas y Superficies\u00bb del Grado en Matem\u00e1ticas de la UGR, 2\u00ba cuatrimestre), impartida durante el per\u00edodo 2014-2017. <\/span>pdf<\/strong><\/a>\u00a0<\/span>(1,7 MB).<\/strong><\/span> Nota: El formato actual de la asignatura podr\u00eda no coincidir con estos apuntes.<\/li>\n
          7. Joaqu\u00edn P\u00e9rez, SUPERFICIES MINIMAS Y DE CURVATURA MEDIA CONSTANTE (Curso basado en el principio del m\u00e1ximo, 2014). <\/span>pdf<\/strong><\/a>\u00a0<\/span>(2,4 MB).<\/strong><\/span><\/li>\n
          8. Joaqu\u00edn P\u00e9rez, MINIMAL AND CONSTANT MEAN CURVATURE SURFACES (2019, versi\u00f3n traducida al ingl\u00e9s y actualizada de las notas de 2017). <\/span>pdf<\/strong><\/a>\u00a0<\/span>(4,7 MB).<\/strong><\/span><\/li>\n
          9. Joaqu\u00edn P\u00e9rez, APUNTES DE GEOMETRIA II (2018). <\/span>pdf<\/strong><\/a>\u00a0<\/span>(472 KB).<\/strong><\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

            Published papers and books Joaqu\u00edn P\u00e9rez & Antonio Ros, SOME UNIQUENESS AND NONEXISTENCE THEOREMS FOR EMBEDDED MINIMAL SURFACES, Mathematische Annalen,…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-41","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/pages\/41","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/comments?post=41"}],"version-history":[{"count":199,"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/pages\/41\/revisions"}],"predecessor-version":[{"id":1508,"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/pages\/41\/revisions\/1508"}],"wp:attachment":[{"href":"https:\/\/wpd.ugr.es\/~jperez\/wp-json\/wp\/v2\/media?parent=41"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}