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 Awards: Shaw Prize (2021) Documents Indexed: 95 Publications since 1968, including 3 Books 1 Contribution as Editor Biographic References: 6 Publications Co-Authors: 38 Co-Authors with 70 Joint Publications 1,165 Co-Co-Authors all top 5 Co-Authors 26 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 Müller, Werner 3 Simons, James 3 Taylor, Michael Eugene 2 Anderson, Michael T. 2 Bryant, Robert L. 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 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 MacPherson, Robert Duncan 1 Marcus, Adam W. 1 Michelsohn, Marie-Louise 1 Minicozzi, William Philip II 1 Palais, Richard S. 1 Pansu, Pierre 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 6 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 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 57 Differential geometry (53-XX) 36 Global analysis, analysis on manifolds (58-XX) 14 Manifolds and cell complexes (57-XX) 8 Partial differential equations (35-XX) 8 Functional analysis (46-XX) 6 Algebraic topology (55-XX) 5 Functions of a complex variable (30-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-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) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 General topology (54-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 91 Publications have been cited 5,878 times in 3,728 Documents Cited by ▼ Year ▼ Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018Cheeger, J. 485 1999 Comparison theorems in Riemannian geometry. Zbl 0309.53035Cheeger, Jeff; Ebin, David G. 481 1975 Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael 333 1982 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049Cheeger, Jeff; Gromoll, Detlef 317 1972 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034Cheeger, Jeff; Colding, Tobias H. 313 1997 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037Cheeger, Jeff; Colding, Tobias H. 247 1996 A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903Cheeger, J. 228 1970 The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033Cheeger, Jeff; Gromoll, Detlef 227 1971 Spectral geometry of singular Riemannian spaces. Zbl 0529.58034Cheeger, Jeff 171 1983 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043Cheeger, Jeff; Colding, Tobias H. 168 2000 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902Cheeger, J. 147 1970 Analytic torsion and the heat equation. Zbl 0412.58026Cheeger, Jeff 146 1979 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042Cheeger, Jeff; Colding, Tobias H. 143 2000 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 106 1986 On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003Cheeger, Jeff 104 1979 Differential characters and geometric invariants. Zbl 0621.57010Cheeger, Jeff; Simons, James 103 1985 A lower bound for the heat kernel. Zbl 0481.35003Cheeger, Jeff; Yau, Shing-Tung 93 1981 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 91 1986 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 88 1989 On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002Cheeger, Jeff 87 1980 On the curvature of piecewise flat spaces. Zbl 0559.53028Cheeger, Jeff; Müller, Werner; Schrader, Robert 85 1984 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 82 1985 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 81 1992 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046Cheeger, J.; Colding, T. H.; Tian, G. 76 2002 Some examples of manifolds of nonnegative curvature. Zbl 0281.53040Cheeger, Jeff 66 1973 On the diffraction of waves by conical singularities. I. Zbl 0526.58049Cheeger, Jeff; Taylor, Michael 65 1982 \(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008Cheeger, Jeff; Goresky, Mark; MacPherson, Robert 61 1982 \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021Anderson, Michael T.; Cheeger, Jeff 60 1992 Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024Cheeger, Jeff 60 2001 Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003Cheeger, Jeff; Ebin, David G. 59 2008 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 58 1990 Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057Cheeger, Jeff; Naber, Aaron 57 2015 Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053Cheeger, Jeff; Naber, Aaron 56 2013 On the diffraction of waves by conical singularities. II. Zbl 0536.58032Cheeger, Jeff; Taylor, Michael 48 1982 On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034Cheeger, Jeff; Tian, Gang 45 1994 Critical points of distance functions and applications to geometry. Zbl 0771.53015Cheeger, Jeff 45 1991 Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009Cheeger, Jeff; Kleiner, Bruce 42 2010 Critical sets of elliptic equations. Zbl 1309.35012Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 36 2015 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 35 1985 \(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021Cheeger, Jeff 32 1987 Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007Cheeger, Jeff; Kleiner, Bruce 32 2009 Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021Bismut, Jean-Michel; Cheeger, Jeff 32 1990 Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 30 2011 Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026Anderson, Michael T.; Cheeger, Jeff 29 1991 On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004Cheeger, Jeff; Kleiner, Bruce 28 2006 Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063Cheeger, Jeff; Naber, Aaron 27 2013 Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034Cheeger, Jeff; Tian, Gang 26 2006 Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron 26 2021 Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II 24 1995 Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013Cheeger, Jeff; Kleiner, Bruce 24 2010 Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051Cheeger, J. 23 2003 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 21 1990 Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 20 2013 Analytic torsion and Reidemeister torsion. Zbl 0358.57005Cheeger, Jeff 19 1977 Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012Cheeger, Jeff; Kleiner, Bruce 19 2013 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016Cheeger, Jeff; Kleiner, Bruce 16 2015 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 16 1991 A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 15 2009 Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058Cheeger, J.; Müller, W.; Schrader, R. 14 1986 Counting topological manifolds. Zbl 0199.58403Cheeger, J.; Kister, J. M. 14 1970 The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201Cheeger, J. 12 1968 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 12 2016 Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028Cheeger, Jeff 11 2003 Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024Cheeger, Jeff; Colding, Tobias H. 10 1995 Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 10 2015 Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. Zbl 0768.58048Bismut, Jean-Michel; Cheeger, Jeff 9 1992 Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004Cheeger, Jeff; Kleiner, Bruce 9 2006 The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101Cheeger, J.; Gromoll, D. 9 1968 Quantitative differentiation: a general formulation. Zbl 1258.30027Cheeger, Jeff 8 2012 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 7 1997 Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038Cheeger, Jeff; Tian, Gang 7 2005 Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802Baum, P. F.; Cheeger, J. 7 1969 Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301Cheeger, J. 7 1969 On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035Cheeger, Jeff; Gromoll, Detlef 6 1980 Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter. Zbl 0863.53026Cheeger, J.; Rong, X. 6 1996 \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034Cheeger, Jeff 6 2002 A combinatorial formula for Stiefel-Whitney classes. Zbl 0282.57009Cheeger, Jeff 6 1971 Multiplication of differential characters. Zbl 0285.53014Cheeger, Jeff 6 1973 Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry. Zbl 0843.53039Cheeger, J.; Rong, X. 5 1995 Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 5 2001 \(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013Cheeger, Jeff; Dai, Xianzhe 5 2009 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045Bismut, Jean-Michel; Cheeger, Jeff 5 1991 Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016Cheeger, Jeff; Kleiner, Bruce 5 2008 A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024Cheeger, Jeff 5 1986 Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 4 2004 Hodge theory of complex cones. Zbl 0583.58004Cheeger, Jeff 4 1983 Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036Bismut, Jean-Michel; Cheeger, Jeff 4 1987 Structure theory and convergence in Riemannian geometry. Zbl 1205.53034Cheeger, Jeff 2 2010 On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050Cheeger, Jeff 2 1987 Marcel Berger remembered. Zbl 1377.01033Besson, 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 Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005 1 2007 Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron 26 2021 Marcel Berger remembered. Zbl 1377.01033Besson, 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 1360.30047Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 12 2016 Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057Cheeger, Jeff; Naber, Aaron 57 2015 Critical sets of elliptic equations. Zbl 1309.35012Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 36 2015 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016Cheeger, Jeff; Kleiner, Bruce 16 2015 Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 10 2015 Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053Cheeger, Jeff; Naber, Aaron 56 2013 Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063Cheeger, Jeff; Naber, Aaron 27 2013 Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron 20 2013 Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012Cheeger, Jeff; Kleiner, Bruce 19 2013 Quantitative differentiation: a general formulation. Zbl 1258.30027Cheeger, Jeff 8 2012 Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 30 2011 Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009Cheeger, Jeff; Kleiner, Bruce 42 2010 Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013Cheeger, Jeff; Kleiner, Bruce 24 2010 Structure theory and convergence in Riemannian geometry. Zbl 1205.53034Cheeger, Jeff 2 2010 Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007Cheeger, Jeff; Kleiner, Bruce 32 2009 A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 15 2009 \(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013Cheeger, Jeff; Dai, Xianzhe 5 2009 Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003Cheeger, Jeff; Ebin, David G. 59 2008 Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016Cheeger, 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 1139.58004Cheeger, Jeff; Kleiner, Bruce 28 2006 Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034Cheeger, Jeff; Tian, Gang 26 2006 Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004Cheeger, Jeff; Kleiner, Bruce 9 2006 Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038Cheeger, Jeff; Tian, Gang 7 2005 Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 4 2004 Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051Cheeger, J. 23 2003 Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028Cheeger, Jeff 11 2003 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046Cheeger, J.; Colding, T. H.; Tian, G. 76 2002 \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034Cheeger, Jeff 6 2002 Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024Cheeger, Jeff 60 2001 Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 5 2001 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043Cheeger, Jeff; Colding, Tobias H. 168 2000 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042Cheeger, Jeff; Colding, Tobias H. 143 2000 Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018Cheeger, J. 485 1999 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034Cheeger, Jeff; Colding, Tobias H. 313 1997 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 7 1997 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037Cheeger, Jeff; Colding, Tobias H. 247 1996 Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter. Zbl 0863.53026Cheeger, J.; Rong, X. 6 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 Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry. Zbl 0843.53039Cheeger, J.; Rong, X. 5 1995 On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034Cheeger, Jeff; Tian, Gang 45 1994 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 81 1992 \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021Anderson, Michael T.; Cheeger, Jeff 60 1992 Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. Zbl 0768.58048Bismut, Jean-Michel; Cheeger, Jeff 9 1992 Critical points of distance functions and applications to geometry. Zbl 0771.53015Cheeger, Jeff 45 1991 Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026Anderson, Michael T.; Cheeger, Jeff 29 1991 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 16 1991 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045Bismut, Jean-Michel; Cheeger, Jeff 5 1991 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 58 1990 Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021Bismut, Jean-Michel; Cheeger, Jeff 32 1990 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 21 1990 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 88 1989 \(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021Cheeger, Jeff 32 1987 Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036Bismut, Jean-Michel; Cheeger, Jeff 4 1987 On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050Cheeger, Jeff 2 1987 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 106 1986 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 91 1986 Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058Cheeger, J.; Müller, W.; Schrader, R. 14 1986 A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024Cheeger, Jeff 5 1986 Differential characters and geometric invariants. Zbl 0621.57010Cheeger, Jeff; Simons, James 103 1985 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 82 1985 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 35 1985 On the curvature of piecewise flat spaces. Zbl 0559.53028Cheeger, Jeff; Müller, Werner; Schrader, Robert 85 1984 Spectral geometry of singular Riemannian spaces. Zbl 0529.58034Cheeger, Jeff 171 1983 Hodge theory of complex cones. Zbl 0583.58004Cheeger, Jeff 4 1983 Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael 333 1982 On the diffraction of waves by conical singularities. I. Zbl 0526.58049Cheeger, Jeff; Taylor, Michael 65 1982 \(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008Cheeger, Jeff; Goresky, Mark; MacPherson, Robert 61 1982 On the diffraction of waves by conical singularities. II. Zbl 0536.58032Cheeger, Jeff; Taylor, Michael 48 1982 A lower bound for the heat kernel. Zbl 0481.35003Cheeger, Jeff; Yau, Shing-Tung 93 1981 On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002Cheeger, Jeff 87 1980 On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035Cheeger, Jeff; Gromoll, Detlef 6 1980 Analytic torsion and the heat equation. Zbl 0412.58026Cheeger, Jeff 146 1979 On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003Cheeger, Jeff 104 1979 Analytic torsion and Reidemeister torsion. Zbl 0358.57005Cheeger, Jeff 19 1977 Comparison theorems in Riemannian geometry. Zbl 0309.53035Cheeger, Jeff; Ebin, David G. 481 1975 Some examples of manifolds of nonnegative curvature. Zbl 0281.53040Cheeger, Jeff 66 1973 Multiplication of differential characters. Zbl 0285.53014Cheeger, Jeff 6 1973 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049Cheeger, Jeff; Gromoll, Detlef 317 1972 The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033Cheeger, Jeff; Gromoll, Detlef 227 1971 A combinatorial formula for Stiefel-Whitney classes. Zbl 0282.57009Cheeger, Jeff 6 1971 A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903Cheeger, J. 228 1970 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902Cheeger, J. 147 1970 Counting topological manifolds. Zbl 0199.58403Cheeger, J.; Kister, J. M. 14 1970 Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802Baum, P. F.; Cheeger, J. 7 1969 Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301Cheeger, J. 7 1969 The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201Cheeger, J. 12 1968 The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101Cheeger, J.; Gromoll, D. 9 1968 all cited Publications top 5 cited Publications all top 5 Cited by 3,199 Authors 35 Gigli, Nicola 32 Cheeger, Jeff 28 Shanmugalingam, Nageswari 26 Wei, Guofang 24 Ambrosio, Luigi 24 Honda, Shouhei 24 Lott, John 23 Naber, Aaron C. 23 Tian, Gang 22 Dai, Xianzhe 20 Björn, Jana 19 Mondino, Andrea 18 Naor, Assaf 18 Rong, Xiaochun 17 Shiohama, Katsuhiro 17 Vertman, Boris 16 Björn, Anders 16 Donnelly, Harold 16 Kleiner, Bruce 15 Koskela, Pekka 15 Pasqualetto, Enrico 15 Savaré, Giuseppe 14 Anderson, Michael T. 14 Bismut, Jean-Michel 14 Kapovitch, Vitali 14 Le Donne, Enrico 14 Piazza, Paolo 14 Taylor, Michael Eugene 13 Bunke, Ulrich 13 Chen, Xiuxiong 12 Colding, Tobias Holck 12 Galaz-Garcia, Fernando 12 Grove, Karsten 12 Ma, Xiaonan 12 Mazzeo, Rafe R. 12 Saloff-Coste, Laurent 12 Speight, Gareth 12 Wang, Bing 12 Xia, Changyu 12 Yamaguchi, Takao 12 Zhang, Weiping 11 Brüning, Jochen 11 Chow, Bennett 11 Ludwig, Ursula Beate 11 Pinamonti, Andrea 11 Rochon, Frédéric 11 Sturm, Karl-Theodor 11 Wilhelm, Frederick H. jun. 11 Yan, Lixin 10 Albin, Pierre 10 Carron, Gilles 10 Gromov, Mikhael Leonidovich 10 Guijarro, Luis 10 Innami, Nobuhiro 10 Kondo, Kei-Ichi 10 Petersen, Peter V 10 Rajala, Tapio 10 Shen, Zhongmin 10 Zhang, Zhenlei 9 Baudoin, Fabrice 9 Cao, Jianguo 9 Eriksson-Bique, Sylvester 9 Jiang, Renjin 9 Jiang, Wenshuai 9 Li, Chi 9 Li, Hongquan 9 Li, Peter 9 Liu, Gang 9 Marola, Niko 9 Nagase, Masayoshi 9 Pan, Jiayin 9 Schick, Thomas 9 Sormani, Christina 9 Spreafico, Mauro 9 Tam, Luen-Fai 9 Tanaka, Minoru 9 Wang, Feng-Yu 9 Wang, Yusheng 9 Weinberger, Shmuel 9 Xu, Shicheng 9 Yau, Shing-Tung 9 Zhang, Huichun 9 Zhang, Junyong 8 Bei, Francesco 8 Belegradek, Igor 8 Bruè, Elia 8 Cochran, Thomas (Tim) Daniel 8 Eschenburg, Jost-Hinrich 8 Fang, Fuquan 8 Freed, Daniel Stuart 8 Greene, Robert Everist 8 Grigor’yan, Alexander Asaturovich 8 Han, Bangxian 8 Haslhofer, Robert 8 Hein, Hans-Joachim 8 Itokawa, Yoe 8 Ketterer, Christian 8 Kirsten, Klaus 8 Lahti, Panu 8 Lu, Zhiqin ...and 3,099 more Authors all top 5 Cited in 421 Serials 166 The Journal of Geometric Analysis 140 Journal of Functional Analysis 135 Proceedings of the American Mathematical Society 130 Transactions of the American Mathematical Society 114 Mathematische Zeitschrift 103 Advances in Mathematics 92 Annals of Global Analysis and Geometry 89 Inventiones Mathematicae 89 Mathematische Annalen 86 Duke Mathematical Journal 86 Calculus of Variations and Partial Differential Equations 85 Communications in Mathematical Physics 69 Differential Geometry and its Applications 66 Geometric and Functional Analysis. GAFA 58 Geometriae Dedicata 58 Geometry & Topology 55 Journal of Geometry and Physics 53 Annales de l’Institut Fourier 51 Journal für die Reine und Angewandte Mathematik 51 Manuscripta Mathematica 39 Journal of Mathematical Analysis and Applications 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Potential Analysis 32 Tôhoku Mathematical Journal. Second Series 30 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 29 Revista Matemática Iberoamericana 28 Communications on Pure and Applied Mathematics 28 Israel Journal of Mathematics 28 Bulletin of the American Mathematical Society. New Series 25 Journal of Mathematical Physics 25 Communications in Contemporary Mathematics 24 Acta Mathematica 23 Journal of High Energy Physics 22 Journal of the American Mathematical Society 21 Science China. Mathematics 20 Compositio Mathematica 20 International Journal of Mathematics 20 Journal of the European Mathematical Society (JEMS) 20 Analysis and Geometry in Metric Spaces 19 Journal d’Analyse Mathématique 19 Archiv der Mathematik 19 Siberian Mathematical Journal 19 Communications in Partial Differential Equations 18 Mathematische Nachrichten 17 Journal of Differential Equations 16 Bulletin de la Société Mathématique de France 16 Algebraic & Geometric Topology 16 Frontiers of Mathematics in China 15 Annals of Mathematics. Second Series 14 Journal of Topology and Analysis 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Results in Mathematics 13 Topology and its Applications 13 Probability Theory and Related Fields 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Annales Henri Poincaré 13 Analysis & PDE 12 Journal of Differential Geometry 12 Kodai Mathematical Journal 11 Letters in Mathematical Physics 11 The Annals of Probability 11 Illinois Journal of Mathematics 11 Publications Mathématiques 11 Journal of the Mathematical Society of Japan 11 Memoirs of the American Mathematical Society 11 Chinese Annals of Mathematics. Series B 11 Discrete & Computational Geometry 11 Journal of Mathematical Sciences (New York) 11 Bulletin des Sciences Mathématiques 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 General Relativity and Gravitation 10 Mathematical Notes 10 Nagoya Mathematical Journal 10 Pacific Journal of Mathematics 10 \(K\)-Theory 9 Commentarii Mathematici Helvetici 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Bulletin of the London Mathematical Society 8 Monatshefte für Mathematik 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Linear Algebra and its Applications 8 Annales Academiae Scientiarum Fennicae. Mathematica 8 Acta Mathematica Sinica. English Series 8 Oberwolfach Reports 8 Bulletin of the American Mathematical Society 8 Journal of Noncommutative Geometry 8 Groups, Geometry, and Dynamics 8 Advances in Calculus of Variations 8 Journal of Spectral Theory 7 Archive for Rational Mechanics and Analysis 7 Discrete Mathematics 7 Wave Motion 7 Journal of the London Mathematical Society. Second Series 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 St. Petersburg Mathematical Journal 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 International Journal of Geometric Methods in Modern Physics ...and 321 more Serials all top 5 Cited in 61 Fields 2,079 Differential geometry (53-XX) 1,093 Global analysis, analysis on manifolds (58-XX) 493 Partial differential equations (35-XX) 448 Manifolds and cell complexes (57-XX) 279 Functional analysis (46-XX) 223 Several complex variables and analytic spaces (32-XX) 199 Calculus of variations and optimal control; optimization (49-XX) 180 Functions of a complex variable (30-XX) 159 Potential theory (31-XX) 147 Probability theory and stochastic processes (60-XX) 143 Quantum theory (81-XX) 141 Algebraic topology (55-XX) 134 Algebraic geometry (14-XX) 122 Topological groups, Lie groups (22-XX) 115 Operator theory (47-XX) 112 Measure and integration (28-XX) 101 Relativity and gravitational theory (83-XX) 99 Combinatorics (05-XX) 95 Group theory and generalizations (20-XX) 82 Real functions (26-XX) 82 Dynamical systems and ergodic theory (37-XX) 82 Convex and discrete geometry (52-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 64 \(K\)-theory (19-XX) 64 Geometry (51-XX) 62 Abstract harmonic analysis (43-XX) 51 General topology (54-XX) 44 Numerical analysis (65-XX) 43 Number theory (11-XX) 40 Computer science (68-XX) 29 Statistics (62-XX) 29 Operations research, mathematical programming (90-XX) 27 Ordinary differential equations (34-XX) 24 Statistical mechanics, structure of matter (82-XX) 18 Fluid mechanics (76-XX) 17 Information and communication theory, circuits (94-XX) 16 Mechanics of particles and systems (70-XX) 15 Mechanics of deformable solids (74-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Special functions (33-XX) 12 General and overarching topics; collections (00-XX) 11 Category theory; homological algebra (18-XX) 11 Approximations and expansions (41-XX) 11 Systems theory; control (93-XX) 10 Nonassociative rings and algebras (17-XX) 10 Optics, electromagnetic theory (78-XX) 9 Mathematical logic and foundations (03-XX) 9 Commutative algebra (13-XX) 8 Difference and functional equations (39-XX) 7 History and biography (01-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Integral transforms, operational calculus (44-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) 3 Integral equations (45-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-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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