Edit Profile (opens in new tab) Colding, Tobias Holck Co-Author Distance Author ID: colding.tobias-holck Published as: Colding, Tobias H.; Colding, Tobias Holck; Colding, T. H.; Holck Colding, Tobias more...less Homepage: http://math.mit.edu/directory/profile.php?pid=50 External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 92 Publications since 1995, including 2 Books Co-Authors: 14 Co-Authors with 84 Joint Publications 318 Co-Co-Authors all top 5 Co-Authors 8 single-authored 65 Minicozzi, William Philip II 8 Cheeger, Jeff 3 De Lellis, Camillo 3 Gabai, David 3 Naber, Aaron C. 2 Hingston, Nancy 2 Ilmanen, Thomas 2 Ketover, Daniel 2 Tian, Gang 1 Cai, Mingliang 1 Pedersen, Erik Kjær 1 Kleiner, Bruce 1 White, Brian Cabell 1 Yang, DaGang all top 5 Serials 12 Annals of Mathematics. Second Series 6 Journal of Differential Geometry 5 Communications on Pure and Applied Mathematics 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 IMRN. International Mathematics Research Notices 3 Geometric and Functional Analysis. GAFA 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Notices of the American Mathematical Society 2 Commentarii Mathematici Helvetici 2 Publications Mathématiques 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Research Letters 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Geometry & Topology 2 ICCM Notices 1 Communications in Mathematical Physics 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Topology 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Advanced Nonlinear Studies 1 The Journal of Symplectic Geometry 1 Graduate Studies in Mathematics 1 Courant Lecture Notes in Mathematics all top 5 Fields 81 Differential geometry (53-XX) 31 Global analysis, analysis on manifolds (58-XX) 13 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Manifolds and cell complexes (57-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 2,874 times in 1,333 Documents Cited by ▼ Year ▼ On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034Cheeger, Jeff; Colding, Tobias H. 304 1997 Generic mean curvature flow. I: Generic singularities. Zbl 1239.53084Colding, Tobias H.; Minicozzi, William P. II 261 2012 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037Cheeger, Jeff; Colding, Tobias H. 239 1996 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043Cheeger, Jeff; Colding, Tobias H. 163 2000 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042Cheeger, Jeff; Colding, Tobias H. 139 2000 A course in minimal surfaces. Zbl 1242.53007Colding, Tobias Holck; Minicozzi, William P. II 126 2011 Ricci curvature and volume convergence. Zbl 0879.53030Colding, Tobias H. 121 1997 Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications. Zbl 1260.53067Colding, Tobias Holck; Naber, Aaron 89 2012 Harmonic functions on manifolds. Zbl 0928.53030Colding, Tobias H.; Minicozzi, William P. II 77 1997 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046Cheeger, J.; Colding, T. H.; Tian, G. 74 2002 Uniqueness of blowups and Łojasiewicz inequalities. Zbl 1337.53082Colding, Tobias Holck; Minicozzi, William P. II 54 2015 The Calabi-Yau conjectures for embedded surfaces. Zbl 1142.53012Colding, Tobias H.; Minicozzi, William P. 53 2008 Smooth compactness of self-shrinkers. Zbl 1258.53069Colding, Tobias H.; Minicozzi, William P. II 45 2012 Harmonic functions with polynomial growth. Zbl 0914.53027Colding, Tobias H.; Minicozzi, William P. II 45 1997 The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected. Zbl 1076.53069Colding, Tobias H.; Minicozzi, William P. II 45 2004 The min-max construction of minimal surfaces. Zbl 1051.53052Colding, Tobias H.; De Lellis, Camillo 44 2003 Liouville theorems for harmonic sections and applications. Zbl 0928.58022Colding, Tobias H.; Minicozzi, William P. II 44 1998 Shape of manifolds with positive Ricci curvature. Zbl 0871.53027Colding, Tobias H. 39 1996 The space of embedded minimal surfaces of fixed genus in a 3-manifold. I: Estimates off the axis for disks. Zbl 1070.53031Colding, Tobias H.; Minicozzi, William P. II 38 2004 The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks. Zbl 1070.53032Colding, Tobias H.; Minicozzi, William P. II 38 2004 Mean curvature flow. Zbl 1442.53064Colding, Tobias Holck; Minicozzi, William P. II; Pedersen, Erik Kjær 38 2015 Width and finite extinction time of Ricci flow. Zbl 1161.53352Colding, Tobias H.; Minicozzi, William P. II 37 2008 Large manifolds with positive Ricci curvature. Zbl 0871.53028Colding, Tobias H. 36 1996 Weyl type bounds for harmonic functions. Zbl 0919.31004Colding, Tobias H.; Minicozzi, William P. II 35 1998 The round sphere minimizes entropy among closed self-shrinkers. Zbl 1278.53069Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. II.; White, Brian 35 2013 Lower bounds for nodal sets of eigenfunctions. Zbl 1238.58020Colding, Tobias H.; Minicozzi, William P. II 34 2011 Minimal surfaces. Zbl 0987.49025Colding, Tobias H.; Minicozzi, William P. II 33 1999 The space of embedded minimal surfaces of fixed genus in a 3-manifold. III: Planar domains. Zbl 1076.53068Colding, Tobias H.; Minicozzi, William P. II 32 2004 On uniqueness of tangent cones for Einstein manifolds. Zbl 1302.53048Colding, Tobias Holck; Minicozzi, William P. II 29 2014 New monotonicity formulas for Ricci curvature and applications. I. Zbl 1277.53066Colding, Tobias Holck 28 2012 Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman. Zbl 1083.53058Colding, Tobias H.; Minicozzi, William P. II 28 2005 Rigidity of generic singularities of mean curvature flow. Zbl 1331.53098Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. 28 2015 Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II 24 1995 The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus. Zbl 1322.53059Colding, Tobias H.; Minicozzi, William P. II 22 2015 Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications. Zbl 1271.53042Colding, Tobias Holck; Naber, Aaron 21 2013 Large scale behavior of kernels of Schrödinger operators. Zbl 0897.58041Colding, Tobias H.; Minicozzi, William P. II 21 1997 Estimates for parametric elliptic integrands. Zbl 1002.53035Colding, Tobias H.; Minicozzi, William P. II 20 2002 The singular set of mean curvature flow with generic singularities. Zbl 1341.53098Colding, Tobias Holck; Minicozzi, William P. II 19 2016 Shapes of embedded minimal surfaces. Zbl 1175.53008Colding, Tobias H.; Minicozzi, William P. II 19 2006 Ricci curvature and monotonicity for harmonic functions. Zbl 1288.53028Colding, Tobias Holck; Minicozzi, William P. II 15 2014 Monotonicity and its analytic and geometric implications. Zbl 1292.35002Colding, Tobias Holck; Minicozzi, William P. II 15 2013 An excursion into geometric analysis. Zbl 1076.53001Colding, Tobias H.; Minicozzi, William P. II 14 2004 Width and mean curvature flow. Zbl 1165.53363Colding, Tobias H.; Minicozzi, William P. II 14 2008 Embedded minimal disks: Proper versus nonproper – global versus local. Zbl 1046.53001Colding, Tobias H.; Minicozzi, William P. II 14 2004 Sharp estimates for mean corvature flow of graphs. Zbl 1057.53050Colding, Tobias H.; Minicozzi, William P. II 13 2004 Łojasiewicz inequalities and applications. Zbl 1329.53092Colding, Tobias Holck; Minicozzi, William P. II 11 2015 Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024Cheeger, Jeff; Colding, Tobias H. 10 1995 Singular limit laminations, Morse index, and positive scalar curvature. Zbl 1096.53037Colding, Tobias H.; De Lellis, Camillo 9 2005 Multivalued minimal graphs and properness of disks. Zbl 1008.58012Colding, Tobias H.; Minicozzi, William P. II 9 2002 Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications. Zbl 1170.35035Colding, Tobias H.; Minicozzi, William P. II; De Lellis, Camillo 8 2008 Minimal surfaces and mean curvature flow. Zbl 1261.53006Colding, Tobias H.; Minicozzi, William P. II 8 2011 Embedded minimal surfaces without area bounds in 3-manifolds. Zbl 0999.53006Colding, Tobias H.; Minicozzi, William P. II 8 2000 Complexity of parabolic systems. Zbl 1458.53095Colding, Tobias Holck; Minicozzi, William P. 8 2020 Differentiability of the arrival time. Zbl 1353.53068Colding, Tobias Holck; Minicozzi, William P. II 8 2016 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 7 1997 Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces. Zbl 1288.53031Colding, Tobias Holck; Naber, Aaron 7 2013 Liouville properties. Zbl 1505.53003Colding, Tobias H.; Minicozzi, William P. 7 2019 Level set method for motion by mean curvature. Zbl 1355.53057Colding, Tobias Holck; Minicozzi, William P. II 7 2016 Complete properly embedded minimal surfaces in \(\mathbf R^3\). Zbl 1010.49025Colding, Tobias H.; Minicozzi, William P. II 6 2001 Examples of embedded minimal tori without area bounds. Zbl 0980.53084Colding, Tobias H.; Minicozzi, William P. II 6 1999 On the classification of Heegaard splittings. Zbl 1403.57013Colding, Tobias Holck; Gabai, David; Ketover, Daniel 6 2018 Minimal submanifolds. Zbl 1111.53007Colding, Tobias H.; Minicozzi, William P. II 5 2006 Convergence of embedded minimal surfaces without area bounds in three-manifolds. Zbl 0918.53002Colding, Tobias H.; Minicozzi II, William P. 5 1998 Generalized Liouville properties of manifolds. Zbl 0884.58032Colding, Tobias H.; Minicozzi, William P. 5 1996 Spaces with Ricci curvature bounds. Zbl 0955.53020Colding, Tobias H. 5 1998 In search of stable geometric structures. Zbl 1465.53005Colding, Tobias Holck; Minicozzi, William P. II 5 2019 Regularity of the level set flow. Zbl 1501.53101Colding, Tobias Holck; Minicozzi, William P. II 5 2018 Dynamics of closed singularities. (Dynamique des singularités fermées.) Zbl 1453.58007Colding, Tobias Holck; Minicozzi, William P. II 5 2019 Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics. Zbl 1095.53028Colding, Tobias H.; Hingston, Nancy 4 2006 On function theory on spaces with a lower Ricci curvature bound. Zbl 0849.53034Colding, Tobias H.; Minicozzi, William P. II 4 1996 Disks that are double spiral staircases. Zbl 1100.53008Colding, Tobias H.; Minicozzi, William P. II 4 2003 Optimal bounds for ancient caloric functions. Zbl 1493.53055Colding, Tobias Holck; Minicozzi, William P. II 4 2021 Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator. Zbl 1401.35219Colding, Tobias Holck; Minicozzi, William P. II 4 2018 Arnold-Thom gradient conjecture for the arrival time. Zbl 1441.35132Colding, Tobias Holck; Minicozzi, William P. II 4 2019 Metrics without Morse index bounds. Zbl 1059.53037Colding, Tobias H.; Hingston, Nancy 3 2003 A gap theorem for ends of complete manifolds. Zbl 0827.53036Cai, Mingliang; Colding, Tobias Holck; Yang, DaGang 3 1995 Singularity structure in mean curvature flow of mean-convex sets. Zbl 1071.53535Colding, Tobias H.; Kleiner, Bruce 3 2003 Parabolic frequency on manifolds. Zbl 1495.35061Holck Colding, Tobias; Minicozzi, William P. II 3 2022 Embedded minimal disks. Zbl 1109.53008Colding, Tobias H.; Minicozzi, William P. II 2 2005 Volumes for eigensections. Zbl 1046.53022Colding, Tobias H.; Minicozzi, William P. II 2 2003 Minimal annuli with and without slits. Zbl 1087.53008Colding, Tobias H.; Minicozzi, William P. II 2 2001 On the structure of embedded minimal annuli. Zbl 1122.53300Colding, Tobias H.; Minicozzi, William P. II 2 2002 Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012Colding, Tobias Holck; Gabai, David 2 2018 Wandering singularities. Zbl 1489.53125Colding, Tobias Holck; Minicozzi, William P. II 2 2021 Stability and Ricci curvature. Zbl 0830.53035Colding, Tobias H. 1 1995 Aspects of Ricci curvature. Zbl 0898.53034Colding, Tobias H. 1 1997 Singularities and diffeomorphisms. Zbl 1510.58005Colding, Tobias Holck; Minicozzi, William P. 1 2022 Analytical properties for degenerate equations. Zbl 1448.35239Colding, Tobias Holck; Minicozzi, William Philip II 1 2020 Parabolic frequency on manifolds. Zbl 1495.35061Holck Colding, Tobias; Minicozzi, William P. II 3 2022 Singularities and diffeomorphisms. Zbl 1510.58005Colding, Tobias Holck; Minicozzi, William P. 1 2022 Optimal bounds for ancient caloric functions. Zbl 1493.53055Colding, Tobias Holck; Minicozzi, William P. II 4 2021 Wandering singularities. Zbl 1489.53125Colding, Tobias Holck; Minicozzi, William P. II 2 2021 Complexity of parabolic systems. Zbl 1458.53095Colding, Tobias Holck; Minicozzi, William P. 8 2020 Analytical properties for degenerate equations. Zbl 1448.35239Colding, Tobias Holck; Minicozzi, William Philip II 1 2020 Liouville properties. Zbl 1505.53003Colding, Tobias H.; Minicozzi, William P. 7 2019 In search of stable geometric structures. Zbl 1465.53005Colding, Tobias Holck; Minicozzi, William P. II 5 2019 Dynamics of closed singularities. (Dynamique des singularités fermées.) Zbl 1453.58007Colding, Tobias Holck; Minicozzi, William P. II 5 2019 Arnold-Thom gradient conjecture for the arrival time. Zbl 1441.35132Colding, Tobias Holck; Minicozzi, William P. II 4 2019 On the classification of Heegaard splittings. Zbl 1403.57013Colding, Tobias Holck; Gabai, David; Ketover, Daniel 6 2018 Regularity of the level set flow. Zbl 1501.53101Colding, Tobias Holck; Minicozzi, William P. II 5 2018 Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator. Zbl 1401.35219Colding, Tobias Holck; Minicozzi, William P. II 4 2018 Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012Colding, Tobias Holck; Gabai, David 2 2018 The singular set of mean curvature flow with generic singularities. Zbl 1341.53098Colding, Tobias Holck; Minicozzi, William P. II 19 2016 Differentiability of the arrival time. Zbl 1353.53068Colding, Tobias Holck; Minicozzi, William P. II 8 2016 Level set method for motion by mean curvature. Zbl 1355.53057Colding, Tobias Holck; Minicozzi, William P. II 7 2016 Uniqueness of blowups and Łojasiewicz inequalities. Zbl 1337.53082Colding, Tobias Holck; Minicozzi, William P. II 54 2015 Mean curvature flow. Zbl 1442.53064Colding, Tobias Holck; Minicozzi, William P. II; Pedersen, Erik Kjær 38 2015 Rigidity of generic singularities of mean curvature flow. Zbl 1331.53098Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. 28 2015 The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus. Zbl 1322.53059Colding, Tobias H.; Minicozzi, William P. II 22 2015 Łojasiewicz inequalities and applications. Zbl 1329.53092Colding, Tobias Holck; Minicozzi, William P. II 11 2015 On uniqueness of tangent cones for Einstein manifolds. Zbl 1302.53048Colding, Tobias Holck; Minicozzi, William P. II 29 2014 Ricci curvature and monotonicity for harmonic functions. Zbl 1288.53028Colding, Tobias Holck; Minicozzi, William P. II 15 2014 The round sphere minimizes entropy among closed self-shrinkers. Zbl 1278.53069Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. II.; White, Brian 35 2013 Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications. Zbl 1271.53042Colding, Tobias Holck; Naber, Aaron 21 2013 Monotonicity and its analytic and geometric implications. Zbl 1292.35002Colding, Tobias Holck; Minicozzi, William P. II 15 2013 Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces. Zbl 1288.53031Colding, Tobias Holck; Naber, Aaron 7 2013 Generic mean curvature flow. I: Generic singularities. Zbl 1239.53084Colding, Tobias H.; Minicozzi, William P. II 261 2012 Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications. Zbl 1260.53067Colding, Tobias Holck; Naber, Aaron 89 2012 Smooth compactness of self-shrinkers. Zbl 1258.53069Colding, Tobias H.; Minicozzi, William P. II 45 2012 New monotonicity formulas for Ricci curvature and applications. I. Zbl 1277.53066Colding, Tobias Holck 28 2012 A course in minimal surfaces. Zbl 1242.53007Colding, Tobias Holck; Minicozzi, William P. II 126 2011 Lower bounds for nodal sets of eigenfunctions. Zbl 1238.58020Colding, Tobias H.; Minicozzi, William P. II 34 2011 Minimal surfaces and mean curvature flow. Zbl 1261.53006Colding, Tobias H.; Minicozzi, William P. II 8 2011 The Calabi-Yau conjectures for embedded surfaces. Zbl 1142.53012Colding, Tobias H.; Minicozzi, William P. 53 2008 Width and finite extinction time of Ricci flow. Zbl 1161.53352Colding, Tobias H.; Minicozzi, William P. II 37 2008 Width and mean curvature flow. Zbl 1165.53363Colding, Tobias H.; Minicozzi, William P. II 14 2008 Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications. Zbl 1170.35035Colding, Tobias H.; Minicozzi, William P. II; De Lellis, Camillo 8 2008 Shapes of embedded minimal surfaces. Zbl 1175.53008Colding, Tobias H.; Minicozzi, William P. II 19 2006 Minimal submanifolds. Zbl 1111.53007Colding, Tobias H.; Minicozzi, William P. II 5 2006 Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics. Zbl 1095.53028Colding, Tobias H.; Hingston, Nancy 4 2006 Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman. Zbl 1083.53058Colding, Tobias H.; Minicozzi, William P. II 28 2005 Singular limit laminations, Morse index, and positive scalar curvature. Zbl 1096.53037Colding, Tobias H.; De Lellis, Camillo 9 2005 Embedded minimal disks. Zbl 1109.53008Colding, Tobias H.; Minicozzi, William P. II 2 2005 The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected. Zbl 1076.53069Colding, Tobias H.; Minicozzi, William P. II 45 2004 The space of embedded minimal surfaces of fixed genus in a 3-manifold. I: Estimates off the axis for disks. Zbl 1070.53031Colding, Tobias H.; Minicozzi, William P. II 38 2004 The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks. Zbl 1070.53032Colding, Tobias H.; Minicozzi, William P. II 38 2004 The space of embedded minimal surfaces of fixed genus in a 3-manifold. III: Planar domains. Zbl 1076.53068Colding, Tobias H.; Minicozzi, William P. II 32 2004 An excursion into geometric analysis. Zbl 1076.53001Colding, Tobias H.; Minicozzi, William P. II 14 2004 Embedded minimal disks: Proper versus nonproper – global versus local. Zbl 1046.53001Colding, Tobias H.; Minicozzi, William P. II 14 2004 Sharp estimates for mean corvature flow of graphs. Zbl 1057.53050Colding, Tobias H.; Minicozzi, William P. II 13 2004 The min-max construction of minimal surfaces. Zbl 1051.53052Colding, Tobias H.; De Lellis, Camillo 44 2003 Disks that are double spiral staircases. Zbl 1100.53008Colding, Tobias H.; Minicozzi, William P. II 4 2003 Metrics without Morse index bounds. Zbl 1059.53037Colding, Tobias H.; Hingston, Nancy 3 2003 Singularity structure in mean curvature flow of mean-convex sets. Zbl 1071.53535Colding, Tobias H.; Kleiner, Bruce 3 2003 Volumes for eigensections. Zbl 1046.53022Colding, Tobias H.; Minicozzi, William P. II 2 2003 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046Cheeger, J.; Colding, T. H.; Tian, G. 74 2002 Estimates for parametric elliptic integrands. Zbl 1002.53035Colding, Tobias H.; Minicozzi, William P. II 20 2002 Multivalued minimal graphs and properness of disks. Zbl 1008.58012Colding, Tobias H.; Minicozzi, William P. II 9 2002 On the structure of embedded minimal annuli. Zbl 1122.53300Colding, Tobias H.; Minicozzi, William P. II 2 2002 Complete properly embedded minimal surfaces in \(\mathbf R^3\). Zbl 1010.49025Colding, Tobias H.; Minicozzi, William P. II 6 2001 Minimal annuli with and without slits. Zbl 1087.53008Colding, Tobias H.; Minicozzi, William P. II 2 2001 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043Cheeger, Jeff; Colding, Tobias H. 163 2000 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042Cheeger, Jeff; Colding, Tobias H. 139 2000 Embedded minimal surfaces without area bounds in 3-manifolds. Zbl 0999.53006Colding, Tobias H.; Minicozzi, William P. II 8 2000 Minimal surfaces. Zbl 0987.49025Colding, Tobias H.; Minicozzi, William P. II 33 1999 Examples of embedded minimal tori without area bounds. Zbl 0980.53084Colding, Tobias H.; Minicozzi, William P. II 6 1999 Liouville theorems for harmonic sections and applications. Zbl 0928.58022Colding, Tobias H.; Minicozzi, William P. II 44 1998 Weyl type bounds for harmonic functions. Zbl 0919.31004Colding, Tobias H.; Minicozzi, William P. II 35 1998 Convergence of embedded minimal surfaces without area bounds in three-manifolds. Zbl 0918.53002Colding, Tobias H.; Minicozzi II, William P. 5 1998 Spaces with Ricci curvature bounds. Zbl 0955.53020Colding, Tobias H. 5 1998 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034Cheeger, Jeff; Colding, Tobias H. 304 1997 Ricci curvature and volume convergence. Zbl 0879.53030Colding, Tobias H. 121 1997 Harmonic functions on manifolds. Zbl 0928.53030Colding, Tobias H.; Minicozzi, William P. II 77 1997 Harmonic functions with polynomial growth. Zbl 0914.53027Colding, Tobias H.; Minicozzi, William P. II 45 1997 Large scale behavior of kernels of Schrödinger operators. Zbl 0897.58041Colding, Tobias H.; Minicozzi, William P. II 21 1997 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 7 1997 Aspects of Ricci curvature. Zbl 0898.53034Colding, Tobias H. 1 1997 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037Cheeger, Jeff; Colding, Tobias H. 239 1996 Shape of manifolds with positive Ricci curvature. Zbl 0871.53027Colding, Tobias H. 39 1996 Large manifolds with positive Ricci curvature. Zbl 0871.53028Colding, Tobias H. 36 1996 Generalized Liouville properties of manifolds. Zbl 0884.58032Colding, Tobias H.; Minicozzi, William P. 5 1996 On function theory on spaces with a lower Ricci curvature bound. Zbl 0849.53034Colding, Tobias H.; Minicozzi, William P. II 4 1996 Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II 24 1995 Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024Cheeger, Jeff; Colding, Tobias H. 10 1995 A gap theorem for ends of complete manifolds. Zbl 0827.53036Cai, Mingliang; Colding, Tobias Holck; Yang, DaGang 3 1995 Stability and Ricci curvature. Zbl 0830.53035Colding, Tobias H. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 1,194 Authors 32 Colding, Tobias Holck 26 Minicozzi, William Philip II 23 Honda, Shouhei 18 Meeks, William Hamilton III 17 Gigli, Nicola 16 Wei, Guofang 15 Alarcón, Antonio 15 Tian, Gang 14 Mondino, Andrea 13 Bernstein, Jacob 12 Cheng, Qingming 12 Naber, Aaron C. 12 Wang, Bing 12 Zhou, Detang 12 Zhou, Xin 11 Cheeger, Jeff 11 Hua, Bobo 11 Tinaglia, Giuseppe 11 Wang, Lu 10 Brendle, Simon 10 Ding, Qi 10 Forstnerič, Franc 9 Bamler, Richard H. 9 Lopez Fernandez, Francisco Jose 9 Ma, Li 9 Pan, Jiayin 9 Sun, Song 9 Wei, Guoxin 8 Bruè, Elia 8 Chen, Xiuxiong 8 Cheng, Xu 8 Haslhofer, Robert 8 Jiang, Wenshuai 8 Jost, Jürgen 8 Kleiner, Bruce 8 Li, Chi 8 Martín, Francisco 8 Qiu, Hongbing 8 Schulze, Felix 8 Sormani, Christina 8 Sun, Jun 8 Wang, Feng 8 Xu, Guoyi 7 Ambrosio, Luigi 7 Huang, Xiantao 7 Kapovitch, Vitali 7 Ketterer, Christian 7 Li, Haizhong 7 Lin, Longzhi 7 Liu, Gang 7 Mazzieri, Lorenzo 7 Pérez Muñoz, Joaquín 7 Rigoli, Marco 7 Semola, Daniele 7 Sun, Ao 7 Székelyhidi, Gábor 7 Zhang, Qi-Shuhuason 6 Arroja Neves, André 6 Carron, Gilles 6 Chodosh, Otis 6 Fogagnolo, Mattia 6 Guang, Qiang 6 Kleene, Stephen James 6 Koskela, Pekka 6 Li, Haozhao 6 Li, Xingxiao 6 Lott, John 6 Lu, Zhiqin 6 Pyo, Juncheol 6 Rimoldi, Michele 6 Rosenberg, Harold 6 White, Brian Cabell 6 Wu, Chuanxi 6 Xia, Changyu 6 Xin, Yuanlong 6 Xu, Hongwei 6 Zeng, Lingzhong 6 Zhu, Jonathan J. H. 5 Anza Hafsa, Omar 5 Case, Jeffrey S. 5 Coskunuzer, Baris 5 Cunha, Antonio Wilson 5 Du, Feng 5 Feehan, Paul M. N. 5 Hein, Hans-Joachim 5 Huang, Shaosai 5 Impera, Debora 5 Kitabeppu, Yu 5 Li, Yu 5 Mandallena, Jean-Philippe 5 Mari, Luciano 5 Marques, Fernando Codá 5 Portegies, Jacobus W. 5 Rong, Xiaochun 5 Savaré, Giuseppe 5 Shaikh, Absos Ali 5 Simon, Miles 5 Sun, Hejun 5 Tewodrose, David 5 Tonegawa, Yoshihiro ...and 1,094 more Authors all top 5 Cited in 204 Serials 97 The Journal of Geometric Analysis 74 Calculus of Variations and Partial Differential Equations 60 Journal für die Reine und Angewandte Mathematik 57 Transactions of the American Mathematical Society 56 Proceedings of the American Mathematical Society 45 Advances in Mathematics 35 Journal of Functional Analysis 33 Geometry & Topology 32 Mathematische Zeitschrift 29 Mathematische Annalen 28 Geometriae Dedicata 27 Duke Mathematical Journal 26 Differential Geometry and its Applications 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Inventiones Mathematicae 22 Annals of Global Analysis and Geometry 20 Geometric and Functional Analysis. GAFA 20 Annals of Mathematics. Second Series 18 Communications in Contemporary Mathematics 17 Journal of Mathematical Analysis and Applications 15 Journal of the American Mathematical Society 13 Science China. Mathematics 12 Communications in Mathematical Physics 12 Journal of the European Mathematical Society (JEMS) 11 Journal of Differential Equations 11 Pacific Journal of Mathematics 11 Results in Mathematics 10 Communications on Pure and Applied Mathematics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Geometry and Physics 9 Manuscripta Mathematica 9 Memoirs of the American Mathematical Society 9 International Journal of Mathematics 9 Bulletin of the American Mathematical Society. New Series 9 Analysis and Geometry in Metric Spaces 8 Acta Mathematica 8 Revista Matemática Iberoamericana 8 Potential Analysis 8 Acta Mathematica Sinica. English Series 8 Mediterranean Journal of Mathematics 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Archive for Rational Mechanics and Analysis 7 Annales de l’Institut Fourier 7 Communications in Partial Differential Equations 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Discrete and Continuous Dynamical Systems 6 Israel Journal of Mathematics 6 Publications Mathématiques 6 Journal of Differential Geometry 6 Journal of the London Mathematical Society. Second Series 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Frontiers of Mathematics in China 6 Analysis & PDE 5 Classical and Quantum Gravity 5 Archiv der Mathematik 5 Journal of Geometry 5 Chinese Annals of Mathematics. Series B 5 Proceedings of the National Academy of Sciences of the United States of America 5 Annales Henri Poincaré 4 Bulletin of the Australian Mathematical Society 4 General Relativity and Gravitation 4 IMRN. International Mathematics Research Notices 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Forum of Mathematics, Sigma 4 Transactions of the American Mathematical Society. Series B 4 Peking Mathematical Journal 3 Commentarii Mathematici Helvetici 3 Compositio Mathematica 3 Illinois Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Kodai Mathematical Journal 3 Monatshefte für Mathematik 3 Proceedings of the London Mathematical Society. Third Series 3 Tôhoku Mathematical Journal. Second Series 3 Bulletin of the Korean Mathematical Society 3 Probability Theory and Related Fields 3 Sugaku Expositions 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 Interfaces and Free Boundaries 3 Journal of High Energy Physics 3 Algebraic & Geometric Topology 3 Communications on Pure and Applied Analysis 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Oberwolfach Reports 3 Advances in Calculus of Variations 3 Japanese Journal of Mathematics. 3rd Series 3 Annales Fennici Mathematici 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Arkiv för Matematik 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France ...and 104 more Serials all top 5 Cited in 49 Fields 1,070 Differential geometry (53-XX) 283 Global analysis, analysis on manifolds (58-XX) 272 Partial differential equations (35-XX) 150 Calculus of variations and optimal control; optimization (49-XX) 80 Several complex variables and analytic spaces (32-XX) 70 Manifolds and cell complexes (57-XX) 51 Potential theory (31-XX) 48 Algebraic geometry (14-XX) 31 Functions of a complex variable (30-XX) 29 Functional analysis (46-XX) 28 Probability theory and stochastic processes (60-XX) 27 Measure and integration (28-XX) 27 Relativity and gravitational theory (83-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Group theory and generalizations (20-XX) 18 Geometry (51-XX) 13 Combinatorics (05-XX) 13 Topological groups, Lie groups (22-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Abstract harmonic analysis (43-XX) 12 Quantum theory (81-XX) 11 Operator theory (47-XX) 11 Numerical analysis (65-XX) 10 Convex and discrete geometry (52-XX) 10 General topology (54-XX) 9 Real functions (26-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Fluid mechanics (76-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Algebraic topology (55-XX) 5 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 3 Number theory (11-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.