Edit Profile (opens in new tab) Meeks, William Hamilton III Compute Distance To: Compute Author ID: meeks.william-h-iii Published as: Meeks, William H. III; Meeks, William H.; Meeks, William H. III.; Meeks, W. H. III; Meeks, William III; Meeks, William Hamilton III; Meeks, H. William III; Meeks, William H. III; Meeks, W. III more...less Homepage: http://people.math.umass.edu/~bill/papers/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 133 Publications since 1977, including 2 Books 1 Contribution as Editor Co-Authors: 35 Co-Authors with 106 Joint Publications 795 Co-Co-Authors all top 5 Co-Authors 28 single-authored 31 Pérez Muñoz, Joaquín 18 Ros, Antonio 14 Rosenberg, Harold 12 Tinaglia, Giuseppe 11 Hoffman, David A. 9 Yau, Shing-Tung 5 Mira, Pablo 4 Frohman, Charles D. 4 White, Brian Cabell 3 Kuiper, Nicolaas Hendrik 3 Martín, Francisco 3 Ramos, Álvaro Krüger 2 Callahan, Michael 2 Coskunuzer, Baris 2 Lazard-Holly, Hippolyte 2 Patrusky, Julie 2 Weber, Matthias 1 Braga Brito, Fabiano Gustavo 1 Choi, Hyeong In 1 Collin, Pascal 1 Daniel, Benoît 1 De Lima, Ronaldo Freire 1 Fang, Yi 1 Ferrer, Leonor 1 Freedman, Michael Hartley 1 Jorge, Luquésio P. M. 1 Korevaar, Nicholas Jacob 1 Kusner, Rob 1 Kusner, Robert B. 1 Nadirashvili, Nikolai S. 1 Sá Earp, Ricardo 1 Scott, G. Peter 1 Simon, Leon Melvin 1 Solomon, Bruce 1 Wolf, Michael all top 5 Serials 18 Journal of Differential Geometry 12 Inventiones Mathematicae 6 Duke Mathematical Journal 6 Illinois Journal of Mathematics 6 Topology 6 Bulletin of the American Mathematical Society. New Series 6 Annals of Mathematics. Second Series 5 American Journal of Mathematics 5 Commentarii Mathematici Helvetici 4 Advances in Mathematics 4 Indiana University Mathematics Journal 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Annalen 3 Journal of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Communications in Analysis and Geometry 2 Bulletin of the American Mathematical Society 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Acta Mathematica 1 Boletim da Sociedade Brasileira de Matemática 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Geometry & Topology 1 Oberwolfach Reports 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 University Lecture Series 1 Cambridge Journal of Mathematics 1 Publicações Matemáticas do IMPA all top 5 Fields 124 Differential geometry (53-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 25 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 1,674 times in 848 Documents Cited by ▼ Year ▼ Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. Zbl 0521.53007Meeks, William H. III; Simon, Leon; Yau, Shing-Tung 96 1982 The strong halfspace theorem for minimal surfaces. Zbl 0722.53054Hoffman, D.; Meeks, W. H. III 89 1990 The topology of complete minimal surfaces of finite total Gaussian curvature. Zbl 0517.53008Jorge, Luquesio P.; Meeks, William H. III 88 1983 The existence of embedded minimal surfaces and the problem of uniqueness. Zbl 0479.49026Meeks, William H. III; Yau, Shing-Tung 80 1982 Topology of three dimensional manifolds and the embedding problems in minimal surface theory. Zbl 0458.57007Meeks, William H. III; Yau, Shing-Tung 76 1980 Finite group actions on 3-manifolds. Zbl 0626.57006Meeks, William H. III; Scott, Peter 67 1986 The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn’s lemma. Zbl 0489.57002Meeks, William H. III; Yau, Shing-Tung 64 1982 The uniqueness of the helicoid. Zbl 1102.53005Meeks, William H. III; Rosenberg, Harold 54 2005 Embedded minimal surfaces of finite topology. Zbl 0695.53004Hoffman, David; Meeks, William H. III 43 1990 The equivariant Dehn’s lemma and loop theorem. Zbl 0469.57005Meeks, William H. III; Yau, Shing-Tung 36 1981 A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends. Zbl 0604.53002Hoffman, David A.; Meeks, William III 33 1985 The topology and geometry of embedded surfaces of constant mean curvature. Zbl 0617.53007Meeks, William H. III 33 1988 Constant mean curvature surfaces in metric Lie groups. Zbl 1267.53006Meeks, William H. III; Pérez, Joaquín 33 2012 The geometry of periodic minimal surfaces. Zbl 0807.53049Meeks, William H. III; Rosenberg, Harold 31 1993 Constant mean curvature surfaces in hyperbolic space. Zbl 0757.53032Korevaar, Nicholas J.; Kusner, Rob; Meeks, William H. III.; Solomon, Bruce 31 1992 The theory of triply periodic minimal surfaces. Zbl 0721.53057Meeks, William H. III 28 1990 The classification of complete minimal surfaces in \(R^ 3\) with total curvature greater than -8pi. Zbl 0472.53010Meeks, William H. III 27 1981 Embedded minimal surfaces with an infinite number of ends. Zbl 0676.53004Callahan, Michael; Hoffman, David; Meeks, William H. III 26 1989 Stable constant mean curvature surfaces. Zbl 1154.53009Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 25 2008 The theory of minimal surfaces in \(M\times \mathbb R\). Zbl 1085.53049Meeks, William H.; Rosenberg, Harold 24 2005 Existence of proper minimal surfaces of arbitrary topological type. Zbl 1246.53006Ferrer, Leonor; Martín, Francisco; Meeks, William H. III 23 2012 The classical theory of minimal surfaces. Zbl 1232.53003Meeks, William H. III; Pérez, Joaquín 22 2011 The global theory of doubly periodic minimal surfaces. Zbl 0676.53068Meeks, William H. III; Rosenberg, Harold 22 1989 The minimal lamination closure theorem. Zbl 1098.53007Meeks, William H. III; Rosenberg, Harold 21 2006 The structure of singly-periodic minimal surfaces. Zbl 0695.53005Callahan, Michael; Hoffman, David; Meeks, William H. III 20 1990 Minimal surfaces bounded by convex curves in parallel planes. Zbl 0731.53004Meeks, William H. III; White, Brian 19 1991 The maximum principle at infinity for minimal surfaces in flat three manifolds. Zbl 0713.53008Meeks, William H. III; Rosenberg, Harold 19 1990 A survey on classical minimal surface theory. Zbl 1262.53002Meeks, William H. III; Pérez, Joaquín 18 2012 Structure theorems for constant mean curvature surfaces bounded by a planar curve. Zbl 0759.53003Sá Earp, Ricardo; Brito, Fabiano; Meeks, William H. III; Rosenberg, Harold 17 1991 Stable minimal surfaces in \(M\times \mathbb R\). Zbl 1079.53089Meeks, William H. III; Rosenberg, Harold 17 2004 The topological, geometry and conformal structure of properly embedded minimal surfaces. Zbl 1098.53006Collin, Pascal; Kusner, Robert; Meeks, William H. III; Rosenberg, Harold 17 2004 Properly embedded minimal planar domains. Zbl 1315.53008Meeks, William H. III.; Pérez, Joaquín; Ros, Antonio 17 2015 Conformal properties in classical minimal surface theory. Zbl 1086.53007Meeks, William H. III; Pérez, Joaquín 17 2004 Local removable singularity theorems for minimal laminations. Zbl 1351.53013Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 16 2016 Properties of properly embedded minimal surfaces of finite topology. Zbl 0634.53003Hoffman, David; Meeks, William H. III 14 1987 Minimal surfaces based on the catenoid. Zbl 0737.53006Hoffman, David; Meeks, William H. III. 13 1990 Bending the helicoid. Zbl 1156.53011Meeks, William H. III; Weber, Matthias 13 2007 The geometry of minimal surfaces of finite genus I: Curvature estimates and quasiperiodicity. Zbl 1068.53012Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 13 2004 Maximum principles at infinity. Zbl 1158.53006Meeks, William H. III; Rosenberg, Harold 12 2008 A rigidity theorem for properly embedded minimal surfaces in \(R^ 3\). Zbl 0704.53008Choi, Hyeong In; Meeks, William H. III; White, Brian 12 1990 Limit leaves of an \(H\) lamination are stable. Zbl 1197.53037Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 12 2010 The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples. Zbl 1070.53003Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 12 2004 Uniqueness of the Riemann minimal examples. Zbl 0916.53004Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 12 1998 Constant mean curvature spheres in homogeneous three-manifolds. Zbl 07330743Meeks, William H. III; Mira, Pablo; Pérez, Joaquín; Ros, Antonio 11 2021 Classification of doubly-periodic minimal surfaces of genus zero. Zbl 1031.53018Lazard-Holly, Hippolyte; Meeks, William H. III 11 2001 The limit lamination metric for the Colding-Minicozzi minimal lamination. Zbl 1087.53058Meeks, William H. III 11 2005 Regularity of the singular set in the Colding-Minicozzi lamination theorem. Zbl 1086.53005Meeks, William H. III 11 2004 Existence of regular neighborhoods for \(H\)-surfaces. Zbl 1269.53014Meeks, William H. III; Tinaglia, Giuseppe 10 2011 Complete embedded minimal surfaces of finite total curvature. Zbl 0566.53017Hoffman, David A.; Meeks, William H. III 10 1985 Uniqueness theorems for minimal surfaces. Zbl 0472.53009Meeks, William H. III 10 1981 Minimal surfaces with the area growth of two planes: the case of infinite symmetry. Zbl 1115.53008Meeks, William H. III; Wolf, Michael 9 2007 Bounded domains which are universal for minimal surfaces. Zbl 1119.53007Martín, Francisco; Meeks, William H. III; Nadirashvili, Nikolai 8 2007 The topological uniqueness of complete minimal surfaces of finite topological type. Zbl 0761.53006Meeks, William H. III; Yau, Shing-Tung 8 1992 The rigidity of embedded constant mean curvature surfaces. Zbl 1235.53008Meeks, William H. III; Tinaglia, Giuseppe 8 2011 The ordering theorem for the ends of properly embedded minimal surfaces. Zbl 0878.53008Frohman, Charles; Meeks, William H. III 8 1997 The asymptotic behavior of properly embedded minimal surfaces of finite topology. Zbl 0683.53005Hoffman, David; Meeks, William H. III 8 1989 A survey of the geometric results in the classical theory of minimal surfaces. Zbl 0577.53007Meeks, William H. III 8 1981 Constant mean curvature spheres in \(\text{ Sol}_3\). Zbl 1277.53057Meeks, William H. III 8 2013 Global problems in classical minimal surface theory. Zbl 1100.53012Meeks, William H. III 8 2005 The geometry and conformal structure of properly embedded minimal surfaces of finite topology in \(\mathbb{R}^ 3\). Zbl 0803.53007Meeks, William H. III; Rosenberg, Harold 7 1993 A variational approach to the existence of complete embedded minimal surfaces. Zbl 0676.53006Hoffman, D.; Meeks, W. H. III 7 1988 The topological uniqueness of minimal surfaces in three dimensional euclidean space. Zbl 0458.53003Meeks, William H. III 7 1981 The dynamics theorem for CMC surfaces in \(\mathbb{R}^3\). Zbl 1203.53009Meeks, William H.; Tinaglia, Giuseppe 7 2010 Half-space theorems for minimal surfaces in \(\mathrm{Nil}_3\) and \(\mathrm{Sol}_3\). Zbl 1237.53053Daniel, Benoît; Meeks, William H.; Rosenberg, Harold 6 2011 Representing homology classes by embedded circles on a compact surface. Zbl 0392.57016Meeks, William H. III.; Patrusky, Julie 6 1978 The geometry, topology, and existence of periodic minimal surfaces. Zbl 0812.49030Meeks, William H. III 5 1993 The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in \( \mathbb{R}^ 3\). Zbl 0886.57015Frohman, Charles; Meeks, William H. III 5 1997 Liouville-type properties for embedded minimal surfaces. Zbl 1117.53009Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 5 2006 Limits of minimal surfaces and Scherk’s fifth surface. Zbl 0709.53006Hoffman, David; Meeks, William H. III 5 1990 Isoperimetric domains of large volume in homogeneous three-manifolds. Zbl 1296.53027Meeks, William H.; Mira, Pablo; Pérez, Joaquín; Ros, Antonio 5 2014 The local picture theorem on the scale of topology. Zbl 1396.53088Meeks, William H.; Pérez, Joaquín; Ros, Antonio 4 2018 Embeddedness of spheres in homogeneous three-manifolds. Zbl 1405.53074Meeks, William H. III; Mira, Pablo; Pérez, Joaquín 4 2017 Non-properly embedded \(H\)-planes in \(\mathbb{H}^3\). Zbl 1362.53069Coskunuzer, Baris; Meeks, William H. III; Tinaglia, Giuseppe 4 2017 Some global properties of complete minimal surfaces of finite topology in \({\mathbb{R}{}}^ 3\). Zbl 0737.53010Fang, Yi; Meeks, William H. III 4 1991 Properly embedded minimal planar domains with infinite topology are Riemann minimal examples. Zbl 1184.53014Meeks, William H.; Pérez, Joaquín 4 2009 The space of minimal annuli bounded by an extremal pair of planar curves. Zbl 0854.53009Meeks, William H. III; White, Brian 4 1993 Triply periodic constant mean curvature surfaces. Zbl 1396.53087Meeks, William H. III; Tinaglia, Giuseppe 3 2018 Chord arc properties for constant mean curvature disks. Zbl 1378.53014Meeks, William H. III; Tinaglia, Giuseppe 3 2018 The classification of CMC foliations of \(\mathbb{R}^3\) and \(\mathbb{S}^3\) with countably many singularities. Zbl 1364.53027Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 3 2016 Une obstruction élémentaire à l’existence d’une action continue de groupe dans une variété. Zbl 0373.57021Freedman, Michael; Meeks, H. William III 3 1978 Proofs of some classical theorems in minimal surface theory. Zbl 1085.53010Meeks, William H. III 3 2005 Group actions on \({\mathbb{R}}^ 3\) (chapter IX). Zbl 0599.57007Meeks, W. H. III; Yau, S.-T. 3 1984 The conformal structure and geometry of triply periodic minimal surfaces in \(R^3\). Zbl 0349.53005Meeks, William H. 3 1977 Geometry results in classical minimal surface theory. Zbl 1063.53008Meeks, William H. III 3 2003 The geometry of stable minimal surfaces in metric Lie groups. Zbl 1417.53065Meeks, William H. III; Mira, Pablo; Pérez, Joaquín 2 2019 Finite type annular ends for harmonic functions. Zbl 1366.53006Meeks, William H. III; Pérez, Joaquín 2 2017 Structure theorems for singular minimal laminations. Zbl 1442.53043Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 2 2020 Total curvature for knotted surfaces. Zbl 0553.53034Kuiper, N. H.; Meeks, W. III 2 1984 Minimal surfaces bounded by a pair of convex planar curves. Zbl 0752.53007Meeks, William H. III; White, Brian 2 1991 The equivariant loop theorem for three-dimensional manifolds and a review of the existence theorems for minimal surfaces (chapter VIII). Zbl 0599.57005Meeks, W. H. III; Yau, S.-T. 2 1984 The total curvature of a knotted torus. Zbl 0602.53038Kuiper, Nicolaas H.; Meeks, William H. III 2 1987 The topological classification of minimal surfaces in \(\mathbb R^{3}\). Zbl 1168.49038Frohman, Charles; Meeks, William H. III 2 2008 Minimal surfaces in flat three-dimensional spaces. Zbl 1005.53008Meeks, William H. III. 2 2002 Representing codimension-one homology classes by embedded submanifolds. Zbl 0392.57017Meeks, William H. III.; Patrusky, Julie 2 1977 Representing codimension-one homology classes on closed nonorientable manifolds by submanifolds. Zbl 0425.57012Meeks, William H. III 2 1979 The classical Plateau problem and the topology of 3-manifolds. Zbl 0439.49027Meeks, William H. III; Yau, Shing-Tung 2 1979 Limit lamination theorems for \(H\)-surfaces. Zbl 1420.53016Meeks, William H. III; Tinaglia, Giuseppe 2 2019 Regularity of the Albanese map for nonorientable surfaces. Zbl 0662.53044Meeks, William H. III 2 1989 The dynamics theorem for properly embedded minimal surfaces. Zbl 1361.53049Meeks, William Hamilton III; Pérez, Joaquín; Ros, Antonio 2 2016 Constant mean curvature surfaces. Zbl 1360.53004Meeks, William H.; Pérez, Joaquín; Tinaglia, Giuseppe 2 2016 Constant mean curvature spheres in homogeneous three-manifolds. Zbl 07330743Meeks, William H. III; Mira, Pablo; Pérez, Joaquín; Ros, Antonio 11 2021 The embedded Calabi-Yau conjecture for finite genus. Zbl 1490.53014Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 2 2021 Structure theorems for singular minimal laminations. Zbl 1442.53043Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 2 2020 One-sided curvature estimates for \(H\)-disks. Zbl 1453.53009Meeks, William H. III; Tinaglia, Giuseppe 1 2020 The geometry of stable minimal surfaces in metric Lie groups. Zbl 1417.53065Meeks, William H. III; Mira, Pablo; Pérez, Joaquín 2 2019 Limit lamination theorems for \(H\)-surfaces. Zbl 1420.53016Meeks, William H. III; Tinaglia, Giuseppe 2 2019 Curvature estimates for constant mean curvature surfaces. Zbl 1433.53014Meeks, William H. III; Tinaglia, Giuseppe 1 2019 Bounds on the topology and index of minimal surfaces. Zbl 1428.53018Meeks, William H.; Pérez, Joaquín; Ros, Antonio 1 2019 Properly immersed surfaces in hyperbolic 3-manifolds. Zbl 1415.53043Meeks, William H. III; Ramos, Álvaro K. 1 2019 Embedded minimal surfaces of finite topology. Zbl 1420.53015Meeks, William H. III; Pérez, Joaquín 1 2019 The local picture theorem on the scale of topology. Zbl 1396.53088Meeks, William H.; Pérez, Joaquín; Ros, Antonio 4 2018 Triply periodic constant mean curvature surfaces. Zbl 1396.53087Meeks, William H. III; Tinaglia, Giuseppe 3 2018 Chord arc properties for constant mean curvature disks. Zbl 1378.53014Meeks, William H. III; Tinaglia, Giuseppe 3 2018 Non-properly embedded \(H\)-planes in \(\mathbb H^2\times \mathbb R\). Zbl 1396.53082Coskunuzer, Baris; Meeks, William H. III; Tinaglia, Giuseppe 1 2018 Embeddedness of spheres in homogeneous three-manifolds. Zbl 1405.53074Meeks, William H. III; Mira, Pablo; Pérez, Joaquín 4 2017 Non-properly embedded \(H\)-planes in \(\mathbb{H}^3\). Zbl 1362.53069Coskunuzer, Baris; Meeks, William H. III; Tinaglia, Giuseppe 4 2017 Finite type annular ends for harmonic functions. Zbl 1366.53006Meeks, William H. III; Pérez, Joaquín 2 2017 Finite topology minimal surfaces in homogeneous three-manifolds. Zbl 1454.53055Meeks, William H. III; Pérez, Joaquín 1 2017 Local removable singularity theorems for minimal laminations. Zbl 1351.53013Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 16 2016 The classification of CMC foliations of \(\mathbb{R}^3\) and \(\mathbb{S}^3\) with countably many singularities. Zbl 1364.53027Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 3 2016 The dynamics theorem for properly embedded minimal surfaces. Zbl 1361.53049Meeks, William Hamilton III; Pérez, Joaquín; Ros, Antonio 2 2016 Constant mean curvature surfaces. Zbl 1360.53004Meeks, William H.; Pérez, Joaquín; Tinaglia, Giuseppe 2 2016 The Riemann minimal examples. Zbl 1359.53010Meeks, William H.; Pérez, Joaquín 2 2016 CMC foliations of closed manifolds. Zbl 1352.53022Meeks, William H. III; Pérez, Joaquín 1 2016 Properly embedded minimal planar domains. Zbl 1315.53008Meeks, William H. III.; Pérez, Joaquín; Ros, Antonio 17 2015 Isoperimetric domains of large volume in homogeneous three-manifolds. Zbl 1296.53027Meeks, William H.; Mira, Pablo; Pérez, Joaquín; Ros, Antonio 5 2014 Constant mean curvature spheres in \(\text{ Sol}_3\). Zbl 1277.53057Meeks, William H. III 8 2013 Constant mean curvature surfaces in metric Lie groups. Zbl 1267.53006Meeks, William H. III; Pérez, Joaquín 33 2012 Existence of proper minimal surfaces of arbitrary topological type. Zbl 1246.53006Ferrer, Leonor; Martín, Francisco; Meeks, William H. III 23 2012 A survey on classical minimal surface theory. Zbl 1262.53002Meeks, William H. III; Pérez, Joaquín 18 2012 The classical theory of minimal surfaces. Zbl 1232.53003Meeks, William H. III; Pérez, Joaquín 22 2011 Existence of regular neighborhoods for \(H\)-surfaces. Zbl 1269.53014Meeks, William H. III; Tinaglia, Giuseppe 10 2011 The rigidity of embedded constant mean curvature surfaces. Zbl 1235.53008Meeks, William H. III; Tinaglia, Giuseppe 8 2011 Half-space theorems for minimal surfaces in \(\mathrm{Nil}_3\) and \(\mathrm{Sol}_3\). Zbl 1237.53053Daniel, Benoît; Meeks, William H.; Rosenberg, Harold 6 2011 Limit leaves of an \(H\) lamination are stable. Zbl 1197.53037Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 12 2010 The dynamics theorem for CMC surfaces in \(\mathbb{R}^3\). Zbl 1203.53009Meeks, William H.; Tinaglia, Giuseppe 7 2010 Properly embedded minimal planar domains with infinite topology are Riemann minimal examples. Zbl 1184.53014Meeks, William H.; Pérez, Joaquín 4 2009 Stable constant mean curvature surfaces. Zbl 1154.53009Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 25 2008 Maximum principles at infinity. Zbl 1158.53006Meeks, William H. III; Rosenberg, Harold 12 2008 The topological classification of minimal surfaces in \(\mathbb R^{3}\). Zbl 1168.49038Frohman, Charles; Meeks, William H. III 2 2008 Bending the helicoid. Zbl 1156.53011Meeks, William H. III; Weber, Matthias 13 2007 Minimal surfaces with the area growth of two planes: the case of infinite symmetry. Zbl 1115.53008Meeks, William H. III; Wolf, Michael 9 2007 Bounded domains which are universal for minimal surfaces. Zbl 1119.53007Martín, Francisco; Meeks, William H. III; Nadirashvili, Nikolai 8 2007 The minimal lamination closure theorem. Zbl 1098.53007Meeks, William H. III; Rosenberg, Harold 21 2006 Liouville-type properties for embedded minimal surfaces. Zbl 1117.53009Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 5 2006 Applications of minimal surfaces to the topology of three-manifolds. Zbl 1173.53007Meeks, William H. III 1 2006 Applications of minimal surfaces to the topology of three-manifolds. Zbl 1135.57008Meeks, William H. III 1 2006 The uniqueness of the helicoid. Zbl 1102.53005Meeks, William H. III; Rosenberg, Harold 54 2005 The theory of minimal surfaces in \(M\times \mathbb R\). Zbl 1085.53049Meeks, William H.; Rosenberg, Harold 24 2005 The limit lamination metric for the Colding-Minicozzi minimal lamination. Zbl 1087.53058Meeks, William H. III 11 2005 Global problems in classical minimal surface theory. Zbl 1100.53012Meeks, William H. III 8 2005 Proofs of some classical theorems in minimal surface theory. Zbl 1085.53010Meeks, William H. III 3 2005 Minimal surfaces of finite topology. Zbl 1115.53007Meeks, William H. III; Rosenberg, Harold 1 2005 Uniqueness of the Riemann minimal surfaces. Zbl 1115.53009Perez, Joaquín; Meeks, William H. III; Ros, Antonio 1 2005 Stable minimal surfaces in \(M\times \mathbb R\). Zbl 1079.53089Meeks, William H. III; Rosenberg, Harold 17 2004 The topological, geometry and conformal structure of properly embedded minimal surfaces. Zbl 1098.53006Collin, Pascal; Kusner, Robert; Meeks, William H. III; Rosenberg, Harold 17 2004 Conformal properties in classical minimal surface theory. Zbl 1086.53007Meeks, William H. III; Pérez, Joaquín 17 2004 The geometry of minimal surfaces of finite genus I: Curvature estimates and quasiperiodicity. Zbl 1068.53012Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 13 2004 The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples. Zbl 1070.53003Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 12 2004 Regularity of the singular set in the Colding-Minicozzi lamination theorem. Zbl 1086.53005Meeks, William H. III 11 2004 Maximum principles at infinity for surfaces of bounded mean curvature in \(\mathbb R^3\) and \(\mathbb H^3\). Zbl 1082.53011de Lima, Ronaldo F.; Meeks, William III 1 2004 Geometry results in classical minimal surface theory. Zbl 1063.53008Meeks, William H. III 3 2003 The geometry and topology of singly-periodic minimal surfaces. Zbl 1086.53006Meeks, William H. III 1 2003 Minimal surfaces in flat three-dimensional spaces. Zbl 1005.53008Meeks, William H. III. 2 2002 Classification of doubly-periodic minimal surfaces of genus zero. Zbl 1031.53018Lazard-Holly, Hippolyte; Meeks, William H. III 11 2001 Uniqueness of the Riemann minimal examples. Zbl 0916.53004Meeks, William H. III; Pérez, Joaquín; Ros, Antonio 12 1998 The ordering theorem for the ends of properly embedded minimal surfaces. Zbl 0878.53008Frohman, Charles; Meeks, William H. III 8 1997 The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in \( \mathbb{R}^ 3\). Zbl 0886.57015Frohman, Charles; Meeks, William H. III 5 1997 Classification of genus zero minimal surfaces properly embedded in \(\mathbb{R}^ 3/\mathbb{Z}^ 2\). (Classification des surfaces minimales de genre zéro proprement plongées dans \(\mathbb{R}^ 3/\mathbb{Z}^ 2\).) Zbl 0884.53046Lazard-Holly, Hippolyte; Meeks, William H. III 1 1997 The geometry of periodic minimal surfaces. Zbl 0807.53049Meeks, William H. III; Rosenberg, Harold 31 1993 The geometry and conformal structure of properly embedded minimal surfaces of finite topology in \(\mathbb{R}^ 3\). Zbl 0803.53007Meeks, William H. III; Rosenberg, Harold 7 1993 The geometry, topology, and existence of periodic minimal surfaces. Zbl 0812.49030Meeks, William H. III 5 1993 The space of minimal annuli bounded by an extremal pair of planar curves. Zbl 0854.53009Meeks, William H. III; White, Brian 4 1993 Constant mean curvature surfaces in hyperbolic space. Zbl 0757.53032Korevaar, Nicholas J.; Kusner, Rob; Meeks, William H. III.; Solomon, Bruce 31 1992 The topological uniqueness of complete minimal surfaces of finite topological type. Zbl 0761.53006Meeks, William H. III; Yau, Shing-Tung 8 1992 Minimal surfaces bounded by convex curves in parallel planes. Zbl 0731.53004Meeks, William H. III; White, Brian 19 1991 Structure theorems for constant mean curvature surfaces bounded by a planar curve. Zbl 0759.53003Sá Earp, Ricardo; Brito, Fabiano; Meeks, William H. III; Rosenberg, Harold 17 1991 Some global properties of complete minimal surfaces of finite topology in \({\mathbb{R}{}}^ 3\). Zbl 0737.53010Fang, Yi; Meeks, William H. III 4 1991 Minimal surfaces bounded by a pair of convex planar curves. Zbl 0752.53007Meeks, William H. III; White, Brian 2 1991 The strong halfspace theorem for minimal surfaces. Zbl 0722.53054Hoffman, D.; Meeks, W. H. III 89 1990 Embedded minimal surfaces of finite topology. Zbl 0695.53004Hoffman, David; Meeks, William H. III 43 1990 The theory of triply periodic minimal surfaces. Zbl 0721.53057Meeks, William H. III 28 1990 The structure of singly-periodic minimal surfaces. Zbl 0695.53005Callahan, Michael; Hoffman, David; Meeks, William H. III 20 1990 The maximum principle at infinity for minimal surfaces in flat three manifolds. Zbl 0713.53008Meeks, William H. III; Rosenberg, Harold 19 1990 Minimal surfaces based on the catenoid. Zbl 0737.53006Hoffman, David; Meeks, William H. III. 13 1990 A rigidity theorem for properly embedded minimal surfaces in \(R^ 3\). Zbl 0704.53008Choi, Hyeong In; Meeks, William H. III; White, Brian 12 1990 Limits of minimal surfaces and Scherk’s fifth surface. Zbl 0709.53006Hoffman, David; Meeks, William H. III 5 1990 Embedded minimal surfaces with an infinite number of ends. Zbl 0676.53004Callahan, Michael; Hoffman, David; Meeks, William H. III 26 1989 The global theory of doubly periodic minimal surfaces. Zbl 0676.53068Meeks, William H. III; Rosenberg, Harold 22 1989 The asymptotic behavior of properly embedded minimal surfaces of finite topology. Zbl 0683.53005Hoffman, David; Meeks, William H. III 8 1989 Regularity of the Albanese map for nonorientable surfaces. Zbl 0662.53044Meeks, William H. III 2 1989 The topology and geometry of embedded surfaces of constant mean curvature. Zbl 0617.53007Meeks, William H. III 33 1988 A variational approach to the existence of complete embedded minimal surfaces. Zbl 0676.53006Hoffman, D.; Meeks, W. H. III 7 1988 The geometry, topology, and existence of doubly periodic minimal surfaces. Zbl 0642.53062Meeks, William H. III; Rosenberg, Harold 1 1988 Properties of properly embedded minimal surfaces of finite topology. Zbl 0634.53003Hoffman, David; Meeks, William H. III 14 1987 The total curvature of a knotted torus. Zbl 0602.53038Kuiper, Nicolaas H.; Meeks, William H. III 2 1987 Finite group actions on 3-manifolds. Zbl 0626.57006Meeks, William H. III; Scott, Peter 67 1986 A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends. Zbl 0604.53002Hoffman, David A.; Meeks, William III 33 1985 Complete embedded minimal surfaces of finite total curvature. Zbl 0566.53017Hoffman, David A.; Meeks, William H. III 10 1985 Group actions on \({\mathbb{R}}^ 3\) (chapter IX). Zbl 0599.57007Meeks, W. H. III; Yau, S.-T. 3 1984 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 743 Authors 48 Meeks, William Hamilton III 23 Lopez Fernandez, Francisco Jose 22 Alarcón, Antonio 22 Pérez Muñoz, Joaquín 18 López Camino, Rafael 18 Rosenberg, Harold 15 Coskunuzer, Baris 14 Hoffman, David A. 14 Ros, Antonio 13 Forstnerič, Franc 13 Martín, Francisco 12 Mira, Pablo 11 Gálvez, Jose Antonio 11 Tinaglia, Giuseppe 10 Kalliongis, John E. 10 Pyo, Juncheol 10 Ripoll, Jaime Bruck 9 Alías, Luis J. 9 Hauswirth, Laurent 9 Toubiana, Eric 8 Bueno, Antonio 8 Espinar, José María 8 Mazet, Laurent 8 Rossman, Wayne 8 Sá Earp, Ricardo 8 Traizet, Martin 8 Weber, Matthias 8 Zimmermann, Bruno P. 7 Carlotto, Alessandro 7 Hass, Joel 7 Manzano, José Miguel 7 Morabito, Filippo 7 Nelli, Barbara 7 Tomi, Friedrich 7 Wang, Shi Cheng 6 Ambrozio, Lucas C. 6 Bernstein, Jacob 6 Breiner, Christine 6 Chodosh, Otis 6 Del Pino, Manuel A. 6 Gimeno, Vicent 6 Bessa, Gregório Pacelli 6 Ramos Batista, Valério 6 Sharp, Ben 6 Shoda, Toshihiro 6 Wei, Juncheng 5 Aiolfi, Ari J. 5 Aledo, Juan Ángel 5 Boileau, Michel Charles 5 Chen, Hao 5 Fernández, Isabel 5 Fujimori, Shoichi 5 González Acuña, Francisco Javier 5 Große-Brauckmann, Karsten 5 Jost, Jürgen 5 Mari, Luciano 5 Rigoli, Marco 5 Sakuma, Makoto 5 Soret, Marc 5 Wang, Chao 5 White, Brian Cabell 5 Yang, Seong-Deog 5 Zhou, Xin 4 Albujer, Alma L. 4 Anderson, Michael T. 4 Arroja Neves, André 4 Colding, Tobias Holck 4 de Lira, Jorge Herbert Soares 4 Drnovšek, Barbara Drinovec 4 Ejiri, Norio 4 Ferrer, Leonor 4 Flapan, Erica 4 Freedman, Michael Hartley 4 Ikeda, Toru 4 Kim, Daehwan 4 Kim, Young Wook 4 Miller, Andy 4 Minicozzi, William Philip II 4 Pacard, Frank 4 Palmer, Vicente 4 Pigola, Stefano 4 Rodríguez, M. Magdalena 4 Romon, Pascal 4 Tam, Luen-Fai 4 Tkachev, Vladimir G. 4 Umehara, Masaaki 4 Yamada, Kotaro 3 Barbosa, Ezequiel R. 3 Boyer, Steven 3 Brendle, Simon 3 Buzano, Reto 3 Callahan, Michael 3 Costa, Celso José 3 Daniel, Benoît 3 Dillen, Franki 3 Dos Santos, Fábio Reis 3 Frohman, Charles D. 3 Fusieger, Pedro 3 Gómez Larrañaga, José Carlos 3 Heil, Wolfgang H. ...and 643 more Authors all top 5 Cited in 175 Serials 58 Transactions of the American Mathematical Society 38 Inventiones Mathematicae 35 Mathematische Zeitschrift 33 Proceedings of the American Mathematical Society 32 Mathematische Annalen 32 The Journal of Geometric Analysis 25 Topology and its Applications 24 Annals of Global Analysis and Geometry 24 Calculus of Variations and Partial Differential Equations 21 Duke Mathematical Journal 20 Advances in Mathematics 15 Geometriae Dedicata 15 Journal für die Reine und Angewandte Mathematik 14 Tôhoku Mathematical Journal. Second Series 13 Manuscripta Mathematica 12 Differential Geometry and its Applications 12 Bulletin of the American Mathematical Society. New Series 12 Geometry & Topology 10 Journal of Mathematical Analysis and Applications 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Illinois Journal of Mathematics 10 Journal of the American Mathematical Society 10 Experimental Mathematics 10 Algebraic & Geometric Topology 9 Annales de l’Institut Fourier 9 International Journal of Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Archiv der Mathematik 8 Journal of Differential Geometry 8 Journal of Knot Theory and its Ramifications 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Archive for Rational Mechanics and Analysis 7 Michigan Mathematical Journal 7 Pacific Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Communications in Mathematical Physics 6 Journal of Geometry and Physics 6 Anais da Academia Brasileira de Ciências 6 Indiana University Mathematics Journal 6 Revista Matemática Iberoamericana 5 Journal of Differential Equations 4 Kodai Mathematical Journal 4 Geometric and Functional Analysis. GAFA 3 Mathematical Notes 3 The Mathematical Intelligencer 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Boletim da Sociedade Brasileira de Matemática 3 Bulletin de la Société Mathématique de France 3 Glasgow Mathematical Journal 3 Journal of Geometry 3 Memoirs of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Proceedings of the National Academy of Sciences of the United States of America 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Bulletin des Sciences Mathématiques 3 Annals of Mathematics. Second Series 3 Journal of High Energy Physics 3 Advances in Geometry 3 Journal of the Australian Mathematical Society 3 Mediterranean Journal of Mathematics 3 Proceedings of the American Mathematical Society. Series B 2 Communications on Pure and Applied Mathematics 2 General Relativity and Gravitation 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Siberian Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Aequationes Mathematicae 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Acta Mathematica Sinica. New Series 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Potential Analysis 2 Advances in Applied Clifford Algebras 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Advanced Nonlinear Studies 2 JP Journal of Geometry and Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Oberwolfach Reports 2 Analysis & PDE 1 International Journal of Modern Physics A 1 Biological Cybernetics 1 Computer Methods in Applied Mechanics and Engineering 1 Fluid Dynamics 1 Israel Journal of Mathematics ...and 75 more Serials all top 5 Cited in 39 Fields 652 Differential geometry (53-XX) 192 Manifolds and cell complexes (57-XX) 146 Calculus of variations and optimal control; optimization (49-XX) 74 Partial differential equations (35-XX) 72 Global analysis, analysis on manifolds (58-XX) 39 Functions of a complex variable (30-XX) 27 Several complex variables and analytic spaces (32-XX) 18 Relativity and gravitational theory (83-XX) 17 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Algebraic topology (55-XX) 11 Algebraic geometry (14-XX) 7 Combinatorics (05-XX) 7 Topological groups, Lie groups (22-XX) 7 Fluid mechanics (76-XX) 6 History and biography (01-XX) 6 Ordinary differential equations (34-XX) 6 Convex and discrete geometry (52-XX) 5 Geometry (51-XX) 4 Potential theory (31-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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