Edit Profile (opens in new tab) Cheeger, Jeff Co-Author Distance Author ID: cheeger.jeff Published as: Cheeger, Jeff; Cheeger, J.; Cheeger, Jeffrey more...less Homepage: https://math.nyu.edu/people/profiles/CHEEGER_Jeff.html External Links: MGP · Wikidata · dblp · GND · IdRef Videos: carmin.tv Awards: Shaw Prize (2021) Documents Indexed: 98 Publications since 1968, including 3 Books 1 Contribution as Editor Biographic References: 6 Publications Co-Authors: 41 Co-Authors with 72 Joint Publications 1,358 Co-Co-Authors all top 5 Co-Authors 27 single-authored 11 Kleiner, Bruce 10 Gromov, Mikhael Leonidovich 8 Bismut, Jean-Michel 8 Colding, Tobias Holck 7 Naber, Aaron C. 5 Tian, Gang 4 Ebin, David G. 4 Gromoll, Detlef 4 Rong, Xiaochun 3 Bryant, Robert L. 3 Müller, Werner 3 Simons, James 3 Taylor, Michael Eugene 2 Anderson, Michael T. 2 Cao, Jianguo 2 Griffiths, Phillip Augustus 2 Grove, Karsten 2 Haslhofer, Robert 2 Naor, Assaf 2 Schrader, Robert 1 Baum, Paul Frank 1 Besson, Gérard 1 Blum, Lenore 1 Bourguignon, Jean-Pierre 1 Burns, Daniel M. jun. 1 Connes, Alain 1 Dai, Xianzhe 1 Donaldson, Simon Kirwan 1 Donnelly, Harold 1 Eriksson-Bique, Sylvester 1 Fukaya, Kenji 1 Goresky, Robert Mark 1 Guillemin, Victor W. 1 Hitchin, Nigel 1 Jiang, Wenshuai 1 Kazdan, Jerry L. 1 Kister, James M. 1 Lafontaine, Jacques 1 Lawson, Herbert Blaine jun. 1 LeBrun, Claude R. 1 Lima-Filho, Paulo 1 MacPherson, Robert Duncan 1 Marcus, Adam W. 1 Michelsohn, Marie-Louise 1 Minicozzi, William Philip II 1 Palais, Richard S. 1 Pansu, Pierre 1 Rosenberg, Jonathan Micah 1 Rossi, Hugo 1 Schioppa, Andrea 1 Singer, Elliot 1 Singer, Isadore Manuel 1 Singer, Natasha 1 Spielman, Daniel Alan 1 Srivastava, Nikhil 1 Stanton, Nancy K. 1 Sternberg, Shlomo 1 Sullivan, Dennis Parnell 1 Valtorta, Daniele 1 Witten, Edward 1 Yau, Shing-Tung all top 5 Serials 13 Journal of Differential Geometry 10 Geometric and Functional Analysis. GAFA 7 Communications on Pure and Applied Mathematics 6 Annals of Mathematics. Second Series 4 Inventiones Mathematicae 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Topology 3 Journal of the American Mathematical Society 3 Notices of the American Mathematical Society 2 Communications in Mathematical Physics 2 American Journal of Mathematics 2 Journal of Functional Analysis 2 Proceedings of the National Academy of Sciences of the United States of America 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Pure and Applied Mathematics Quarterly 2 Analysis and Geometry in Metric Spaces 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 Milan Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 North-Holland Mathematical Library 1 Surveys in Differential Geometry all top 5 Fields 58 Differential geometry (53-XX) 37 Global analysis, analysis on manifolds (58-XX) 14 Manifolds and cell complexes (57-XX) 10 Functional analysis (46-XX) 8 Partial differential equations (35-XX) 7 Functions of a complex variable (30-XX) 6 Algebraic topology (55-XX) 4 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 6,763 times in 4,301 Documents Cited by ▼ Year ▼ Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018 Cheeger, J. 548 1999 Comparison theorems in Riemannian geometry. Zbl 0309.53035 Cheeger, Jeff; Ebin, David G. 503 1975 A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903 Cheeger, J. 381 1970 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034 Cheeger, Jeff; Colding, Tobias H. 369 1997 Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035 Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael 363 1982 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049 Cheeger, Jeff; Gromoll, Detlef 333 1972 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037 Cheeger, Jeff; Colding, Tobias H. 295 1996 The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033 Cheeger, Jeff; Gromoll, Detlef 252 1971 Spectral geometry of singular Riemannian spaces. Zbl 0529.58034 Cheeger, Jeff 189 1983 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043 Cheeger, Jeff; Colding, Tobias H. 189 2000 Differential characters and geometric invariants. Zbl 0621.57010 Cheeger, Jeff; Simons, James 163 1985 Analytic torsion and the heat equation. Zbl 0412.58026 Cheeger, Jeff 162 1979 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902 Cheeger, J. 162 1970 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042 Cheeger, Jeff; Colding, Tobias H. 160 2000 On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002 Cheeger, Jeff 115 1980 On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003 Cheeger, Jeff 112 1979 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028 Cheeger, Jeff; Gromov, Mikhael 110 1986 On the curvature of piecewise flat spaces. Zbl 0559.53028 Cheeger, Jeff; Müller, Werner; Schrader, Robert 104 1984 A lower bound for the heat kernel. Zbl 0481.35003 Cheeger, Jeff; Yau, Shing-Tung 101 1981 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020 Cheeger, Jeff; Gromov, Mikhael 99 1986 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037 Bismut, Jean-Michel; Cheeger, Jeff 94 1989 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034 Cheeger, Jeff; Gromov, Mikhael 93 1985 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022 Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 87 1992 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046 Cheeger, J.; Colding, T. H.; Tian, G. 86 2002 Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057 Cheeger, Jeff; Naber, Aaron 80 2015 Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003 Cheeger, Jeff; Ebin, David G. 72 2008 \(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008 Cheeger, Jeff; Goresky, Mark; MacPherson, Robert 72 1982 Some examples of manifolds of nonnegative curvature. Zbl 0281.53040 Cheeger, Jeff 72 1973 On the diffraction of waves by conical singularities. I. Zbl 0526.58049 Cheeger, Jeff; Taylor, Michael 70 1982 Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053 Cheeger, Jeff; Naber, Aaron 69 2013 \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021 Anderson, Michael T.; Cheeger, Jeff 68 1992 Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024 Cheeger, Jeff 66 2001 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043 Cheeger, Jeff; Gromov, Mikhael 62 1990 On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034 Cheeger, Jeff; Tian, Gang 54 1994 On the diffraction of waves by conical singularities. II. Zbl 0536.58032 Cheeger, Jeff; Taylor, Michael 51 1982 Critical points of distance functions and applications to geometry. Zbl 0771.53015 Cheeger, Jeff 49 1991 Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009 Cheeger, Jeff; Kleiner, Bruce 46 2010 Critical sets of elliptic equations. Zbl 1309.35012 Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 45 2015 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036 Cheeger, Jeff; Gromov, Mikhael 44 1985 Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083 Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron 39 2021 Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007 Cheeger, Jeff; Kleiner, Bruce 38 2009 Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021 Bismut, Jean-Michel; Cheeger, Jeff 34 1990 \(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021 Cheeger, Jeff 34 1987 Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063 Cheeger, Jeff; Naber, Aaron 34 2013 Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020 Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 33 2011 Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026 Anderson, Michael T.; Cheeger, Jeff 32 1991 On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004 Cheeger, Jeff; Kleiner, Bruce 31 2006 Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032 Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II 30 1995 Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034 Cheeger, Jeff; Tian, Gang 29 2006 Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051 Cheeger, J. 26 2003 Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013 Cheeger, Jeff; Kleiner, Bruce 26 2010 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023 Bismut, Jean-Michel; Cheeger, Jeff 22 1990 Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064 Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 22 2013 Analytic torsion and Reidemeister torsion. Zbl 0358.57005 Cheeger, Jeff 22 1977 Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012 Cheeger, Jeff; Kleiner, Bruce 21 2013 Chopping Riemannian manifolds. Zbl 0722.53045 Cheeger, Jeff; Gromov, Mikhael 17 1991 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016 Cheeger, Jeff; Kleiner, Bruce 17 2015 A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318 Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 16 2009 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047 Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 15 2016 Counting topological manifolds. Zbl 0199.58403 Cheeger, J.; Kister, J. M. 15 1970 Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058 Cheeger, J.; Müller, W.; Schrader, R. 14 1986 The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201 Cheeger, J. 12 1968 Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028 Cheeger, Jeff 12 2003 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045 Bismut, Jean-Michel; Cheeger, Jeff 11 1991 Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081 Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 10 2015 Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024 Cheeger, Jeff; Colding, Tobias H. 10 1995 Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004 Cheeger, Jeff; Kleiner, Bruce 9 2006 Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. Zbl 0768.58048 Bismut, Jean-Michel; Cheeger, Jeff 9 1992 The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101 Cheeger, J.; Gromoll, D. 9 1968 Quantitative differentiation: a general formulation. Zbl 1258.30027 Cheeger, Jeff 9 2012 A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024 Cheeger, Jeff 8 1986 Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301 Cheeger, J. 8 1969 Hodge theory of complex cones. Zbl 0583.58004 Cheeger, Jeff 8 1983 Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802 Baum, P. F.; Cheeger, J. 7 1969 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018 Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 7 1997 Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038 Cheeger, Jeff; Tian, Gang 7 2005 A combinatorial formula for Stiefel-Whitney classes. Zbl 0282.57009 Cheeger, Jeff 6 1971 On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035 Cheeger, Jeff; Gromoll, Detlef 6 1980 \(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013 Cheeger, Jeff; Dai, Xianzhe 6 2009 Multiplication of differential characters. Zbl 0285.53014 Cheeger, Jeff 6 1973 Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter. Zbl 0863.53026 Cheeger, J.; Rong, X. 6 1996 \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034 Cheeger, Jeff 6 2002 Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016 Cheeger, Jeff; Kleiner, Bruce 5 2008 Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry. Zbl 0843.53039 Cheeger, J.; Rong, X. 5 1995 Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038 Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 5 2001 Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036 Bismut, Jean-Michel; Cheeger, Jeff 4 1987 Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050 Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 4 2004 Invariants of flat bundles. Zbl 0332.55020 Cheeger, Jeff 4 1975 On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050 Cheeger, Jeff 3 1987 Structure theory and convergence in Riemannian geometry. Zbl 1205.53034 Cheeger, Jeff 2 2010 Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005 1 2007 Marcel Berger remembered. Zbl 1377.01033 Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten 1 2017 Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083 Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron 39 2021 Marcel Berger remembered. Zbl 1377.01033 Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten 1 2017 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047 Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 15 2016 Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057 Cheeger, Jeff; Naber, Aaron 80 2015 Critical sets of elliptic equations. Zbl 1309.35012 Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 45 2015 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016 Cheeger, Jeff; Kleiner, Bruce 17 2015 Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081 Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 10 2015 Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053 Cheeger, Jeff; Naber, Aaron 69 2013 Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063 Cheeger, Jeff; Naber, Aaron 34 2013 Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064 Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 22 2013 Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012 Cheeger, Jeff; Kleiner, Bruce 21 2013 Quantitative differentiation: a general formulation. Zbl 1258.30027 Cheeger, Jeff 9 2012 Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020 Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 33 2011 Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009 Cheeger, Jeff; Kleiner, Bruce 46 2010 Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013 Cheeger, Jeff; Kleiner, Bruce 26 2010 Structure theory and convergence in Riemannian geometry. Zbl 1205.53034 Cheeger, Jeff 2 2010 Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007 Cheeger, Jeff; Kleiner, Bruce 38 2009 A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318 Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 16 2009 \(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013 Cheeger, Jeff; Dai, Xianzhe 6 2009 Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003 Cheeger, Jeff; Ebin, David G. 72 2008 Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016 Cheeger, Jeff; Kleiner, Bruce 5 2008 Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005 1 2007 On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004 Cheeger, Jeff; Kleiner, Bruce 31 2006 Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034 Cheeger, Jeff; Tian, Gang 29 2006 Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004 Cheeger, Jeff; Kleiner, Bruce 9 2006 Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038 Cheeger, Jeff; Tian, Gang 7 2005 Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050 Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 4 2004 Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051 Cheeger, J. 26 2003 Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028 Cheeger, Jeff 12 2003 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046 Cheeger, J.; Colding, T. H.; Tian, G. 86 2002 \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034 Cheeger, Jeff 6 2002 Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024 Cheeger, Jeff 66 2001 Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038 Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 5 2001 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043 Cheeger, Jeff; Colding, Tobias H. 189 2000 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042 Cheeger, Jeff; Colding, Tobias H. 160 2000 Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018 Cheeger, J. 548 1999 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034 Cheeger, Jeff; Colding, Tobias H. 369 1997 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018 Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 7 1997 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037 Cheeger, Jeff; Colding, Tobias H. 295 1996 Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter. Zbl 0863.53026 Cheeger, J.; Rong, X. 6 1996 Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032 Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II 30 1995 Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024 Cheeger, Jeff; Colding, Tobias H. 10 1995 Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry. Zbl 0843.53039 Cheeger, J.; Rong, X. 5 1995 On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034 Cheeger, Jeff; Tian, Gang 54 1994 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022 Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 87 1992 \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021 Anderson, Michael T.; Cheeger, Jeff 68 1992 Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. Zbl 0768.58048 Bismut, Jean-Michel; Cheeger, Jeff 9 1992 Critical points of distance functions and applications to geometry. Zbl 0771.53015 Cheeger, Jeff 49 1991 Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026 Anderson, Michael T.; Cheeger, Jeff 32 1991 Chopping Riemannian manifolds. Zbl 0722.53045 Cheeger, Jeff; Gromov, Mikhael 17 1991 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045 Bismut, Jean-Michel; Cheeger, Jeff 11 1991 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043 Cheeger, Jeff; Gromov, Mikhael 62 1990 Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021 Bismut, Jean-Michel; Cheeger, Jeff 34 1990 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023 Bismut, Jean-Michel; Cheeger, Jeff 22 1990 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037 Bismut, Jean-Michel; Cheeger, Jeff 94 1989 \(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021 Cheeger, Jeff 34 1987 Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036 Bismut, Jean-Michel; Cheeger, Jeff 4 1987 On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050 Cheeger, Jeff 3 1987 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028 Cheeger, Jeff; Gromov, Mikhael 110 1986 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020 Cheeger, Jeff; Gromov, Mikhael 99 1986 Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058 Cheeger, J.; Müller, W.; Schrader, R. 14 1986 A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024 Cheeger, Jeff 8 1986 Differential characters and geometric invariants. Zbl 0621.57010 Cheeger, Jeff; Simons, James 163 1985 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034 Cheeger, Jeff; Gromov, Mikhael 93 1985 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036 Cheeger, Jeff; Gromov, Mikhael 44 1985 On the curvature of piecewise flat spaces. Zbl 0559.53028 Cheeger, Jeff; Müller, Werner; Schrader, Robert 104 1984 Spectral geometry of singular Riemannian spaces. Zbl 0529.58034 Cheeger, Jeff 189 1983 Hodge theory of complex cones. Zbl 0583.58004 Cheeger, Jeff 8 1983 Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035 Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael 363 1982 \(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008 Cheeger, Jeff; Goresky, Mark; MacPherson, Robert 72 1982 On the diffraction of waves by conical singularities. I. Zbl 0526.58049 Cheeger, Jeff; Taylor, Michael 70 1982 On the diffraction of waves by conical singularities. II. Zbl 0536.58032 Cheeger, Jeff; Taylor, Michael 51 1982 A lower bound for the heat kernel. Zbl 0481.35003 Cheeger, Jeff; Yau, Shing-Tung 101 1981 On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002 Cheeger, Jeff 115 1980 On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035 Cheeger, Jeff; Gromoll, Detlef 6 1980 Analytic torsion and the heat equation. Zbl 0412.58026 Cheeger, Jeff 162 1979 On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003 Cheeger, Jeff 112 1979 Analytic torsion and Reidemeister torsion. Zbl 0358.57005 Cheeger, Jeff 22 1977 Comparison theorems in Riemannian geometry. Zbl 0309.53035 Cheeger, Jeff; Ebin, David G. 503 1975 Invariants of flat bundles. Zbl 0332.55020 Cheeger, Jeff 4 1975 Some examples of manifolds of nonnegative curvature. Zbl 0281.53040 Cheeger, Jeff 72 1973 Multiplication of differential characters. Zbl 0285.53014 Cheeger, Jeff 6 1973 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049 Cheeger, Jeff; Gromoll, Detlef 333 1972 The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033 Cheeger, Jeff; Gromoll, Detlef 252 1971 A combinatorial formula for Stiefel-Whitney classes. Zbl 0282.57009 Cheeger, Jeff 6 1971 A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903 Cheeger, J. 381 1970 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902 Cheeger, J. 162 1970 Counting topological manifolds. Zbl 0199.58403 Cheeger, J.; Kister, J. M. 15 1970 Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301 Cheeger, J. 8 1969 Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802 Baum, P. F.; Cheeger, J. 7 1969 The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201 Cheeger, J. 12 1968 The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101 Cheeger, J.; Gromoll, D. 9 1968 all cited Publications top 5 cited Publications all top 5 Cited by 3,708 Authors 38 Gigli, Nicola 33 Cheeger, Jeff 29 Shanmugalingam, Nageswari 27 Wei, Guofang 26 Honda, Shouhei 25 Lott, John 25 Naber, Aaron C. 24 Ambrosio, Luigi 24 Dai, Xianzhe 24 Mondino, Andrea 23 Tian, Gang 22 Pasqualetto, Enrico 21 Naor, Assaf 20 Björn, Jana 20 Rong, Xiaochun 19 Vertman, Boris 17 Eriksson-Bique, Sylvester 17 Kleiner, Bruce 17 Shiohama, Katsuhiro 16 Björn, Anders 16 Donnelly, Harold 16 Wang, Bing 15 Koskela, Pekka 15 Savaré, Giuseppe 14 Anderson, Michael T. 14 Bismut, Jean-Michel 14 Bunke, Ulrich 14 Kapovitch, Vitali 14 Le Donne, Enrico 14 Piazza, Paolo 14 Pinamonti, Andrea 14 Rajala, Tapio 14 Taylor, Michael Eugene 13 Chen, Xiuxiong 13 Colding, Tobias Holck 13 Ma, Xiaonan 13 Mazzeo, Rafe R. 13 Rochon, Frédéric 12 Baudoin, Fabrice 12 Carron, Gilles 12 Galaz-Garcia, Fernando 12 Grove, Karsten 12 Guijarro, Luis 12 Saloff-Coste, Laurent 12 Semola, Daniele 12 Speight, Gareth 12 Sturm, Karl-Theodor 12 Wilhelm, Frederick H. jun. 12 Xia, Changyu 12 Yamaguchi, Takao 12 Zhang, Weiping 11 Albin, Pierre 11 Bei, Francesco 11 Brüning, Jochen 11 Chow, Bennett 11 Gromov, Mikhael Leonidovich 11 Ludwig, Ursula Beate 11 Pan, Jiayin 11 Petersen, Peter V 11 Wang, Feng-Yu 11 Weinberger, Shmuel 11 Xu, Shicheng 11 Yan, Lixin 11 Yau, Shing-Tung 11 Zhang, Huichun 10 Freed, Daniel Stuart 10 Hein, Hans-Joachim 10 Innami, Nobuhiro 10 Kirsten, Klaus 10 Kondo, Kei-Ichi 10 Lahti, Panu 10 Lee, Man-Chun 10 Liu, Gang 10 Rigoli, Marco 10 Shen, Zhongmin 10 Sormani, Christina 10 Zhang, Zhenlei 9 Antonelli, Gioacchino 9 Bamler, Richard H. 9 Bruè, Elia 9 Cao, Jianguo 9 Cochran, Thomas (Tim) Daniel 9 Han, Bangxian 9 Hartmann, Luiz 9 Haslhofer, Robert 9 Jiang, Renjin 9 Jiang, Wenshuai 9 Ketterer, Christian 9 Li, Chi 9 Li, Hongquan 9 Li, Peter 9 Mari, Luciano 9 Marola, Niko 9 Nagase, Masayoshi 9 Schick, Thomas 9 Searle, Catherine 9 Shioya, Takashi 9 Spreafico, Mauro 9 Székelyhidi, Gábor 9 Tam, Luen-Fai ...and 3,608 more Authors all top 5 Cited in 470 Serials 190 The Journal of Geometric Analysis 151 Journal of Functional Analysis 144 Proceedings of the American Mathematical Society 136 Transactions of the American Mathematical Society 124 Advances in Mathematics 124 Mathematische Zeitschrift 103 Mathematische Annalen 100 Annals of Global Analysis and Geometry 98 Calculus of Variations and Partial Differential Equations 94 Inventiones Mathematicae 91 Duke Mathematical Journal 85 Communications in Mathematical Physics 79 Differential Geometry and its Applications 70 Journal of Geometry and Physics 68 Geometric and Functional Analysis. GAFA 63 Geometriae Dedicata 61 Geometry & Topology 59 Journal für die Reine und Angewandte Mathematik 59 Manuscripta Mathematica 57 Annales de l’Institut Fourier 43 Communications on Pure and Applied Mathematics 42 Journal of Mathematical Analysis and Applications 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 Potential Analysis 34 Revista Matemática Iberoamericana 32 Journal of Mathematical Physics 32 Tôhoku Mathematical Journal. Second Series 32 Communications in Contemporary Mathematics 32 Comptes Rendus. Mathématique. Académie des Sciences, Paris 31 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 29 Bulletin of the American Mathematical Society. New Series 29 Journal of High Energy Physics 28 Israel Journal of Mathematics 27 Mathematische Nachrichten 24 Acta Mathematica 23 International Journal of Mathematics 22 Journal of Differential Geometry 22 Journal of the American Mathematical Society 22 Journal of the European Mathematical Society (JEMS) 22 Analysis and Geometry in Metric Spaces 21 Archiv der Mathematik 21 Science China. Mathematics 20 Journal d’Analyse Mathématique 20 Compositio Mathematica 20 Siberian Mathematical Journal 20 Analysis & PDE 19 Communications in Partial Differential Equations 18 Algebraic & Geometric Topology 17 Journal of Differential Equations 17 Results in Mathematics 17 Topology and its Applications 17 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 17 Frontiers of Mathematics in China 17 Journal of Topology and Analysis 16 Nuclear Physics. B 16 Bulletin de la Société Mathématique de France 16 Linear Algebra and its Applications 16 Annals of Mathematics. Second Series 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Probability Theory and Related Fields 14 Annales Henri Poincaré 13 General Relativity and Gravitation 13 The Annals of Probability 13 Journal of the London Mathematical Society. Second Series 13 Pacific Journal of Mathematics 13 Discrete & Computational Geometry 12 Letters in Mathematical Physics 12 Illinois Journal of Mathematics 12 Journal of the Mathematical Society of Japan 12 Kodai Mathematical Journal 12 Chinese Annals of Mathematics. Series B 12 Journal of Mathematical Sciences (New York) 12 Bulletin des Sciences Mathématiques 12 Oberwolfach Reports 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Journal of Spectral Theory 12 Annales Fennici Mathematici 11 Archive for Rational Mechanics and Analysis 11 Mathematical Notes 11 Commentarii Mathematici Helvetici 11 Publications Mathématiques 11 Memoirs of the American Mathematical Society 10 Discrete Mathematics 10 Nagoya Mathematical Journal 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 \(K\)-Theory 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 10 Journal of Noncommutative Geometry 10 Advances in Calculus of Variations 9 Modern Physics Letters A 9 Bulletin of the London Mathematical Society 9 Monatshefte für Mathematik 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 St. Petersburg Mathematical Journal 8 Electronic Journal of Probability 8 The Journal of Fourier Analysis and Applications 8 Annales Academiae Scientiarum Fennicae. Mathematica ...and 370 more Serials all top 5 Cited in 61 Fields 2,315 Differential geometry (53-XX) 1,222 Global analysis, analysis on manifolds (58-XX) 597 Partial differential equations (35-XX) 512 Manifolds and cell complexes (57-XX) 324 Functional analysis (46-XX) 260 Several complex variables and analytic spaces (32-XX) 239 Calculus of variations and optimal control; optimization (49-XX) 211 Functions of a complex variable (30-XX) 192 Quantum theory (81-XX) 178 Potential theory (31-XX) 177 Probability theory and stochastic processes (60-XX) 173 Algebraic topology (55-XX) 166 Algebraic geometry (14-XX) 159 Combinatorics (05-XX) 139 Relativity and gravitational theory (83-XX) 134 Operator theory (47-XX) 133 Measure and integration (28-XX) 127 Topological groups, Lie groups (22-XX) 110 Group theory and generalizations (20-XX) 102 Real functions (26-XX) 101 Dynamical systems and ergodic theory (37-XX) 100 Convex and discrete geometry (52-XX) 81 Harmonic analysis on Euclidean spaces (42-XX) 75 Geometry (51-XX) 74 \(K\)-theory (19-XX) 64 Abstract harmonic analysis (43-XX) 60 Numerical analysis (65-XX) 60 Computer science (68-XX) 55 General topology (54-XX) 54 Number theory (11-XX) 41 Operations research, mathematical programming (90-XX) 40 Statistics (62-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Ordinary differential equations (34-XX) 26 Information and communication theory, circuits (94-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 20 Mechanics of particles and systems (70-XX) 20 Fluid mechanics (76-XX) 17 Mechanics of deformable solids (74-XX) 16 General and overarching topics; collections (00-XX) 14 Category theory; homological algebra (18-XX) 14 Special functions (33-XX) 14 Difference and functional equations (39-XX) 12 Nonassociative rings and algebras (17-XX) 12 Approximations and expansions (41-XX) 11 Mathematical logic and foundations (03-XX) 11 Optics, electromagnetic theory (78-XX) 11 Systems theory; control (93-XX) 10 Commutative algebra (13-XX) 8 History and biography (01-XX) 8 Integral transforms, operational calculus (44-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Biology and other natural sciences (92-XX) 5 Associative rings and algebras (16-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Integral equations (45-XX) 3 Field theory and polynomials (12-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-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. 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