Edit Profile (opens in new tab) Cheeger, Jeff Compute Distance To: Compute 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: 5 Publications Co-Authors: 38 Co-Authors with 70 Joint Publications 1,137 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 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 Nigel Hitchin 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 5,448 times in 3,461 Documents Cited by ▼ Year ▼ Comparison theorems in Riemannian geometry. Zbl 0309.53035Cheeger, Jeff; Ebin, David G. 466 1975 Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018Cheeger, J. 455 1999 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 320 1982 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049Cheeger, Jeff; Gromoll, Detlef 307 1972 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034Cheeger, Jeff; Colding, Tobias H. 280 1997 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037Cheeger, Jeff; Colding, Tobias H. 220 1996 The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033Cheeger, Jeff; Gromoll, Detlef 211 1971 A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903Cheeger, J. 184 1970 Spectral geometry of singular Riemannian spaces. Zbl 0529.58034Cheeger, Jeff 158 1983 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043Cheeger, Jeff; Colding, Tobias H. 147 2000 Analytic torsion and the heat equation. Zbl 0412.58026Cheeger, Jeff 145 1979 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902Cheeger, J. 141 1970 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042Cheeger, Jeff; Colding, Tobias H. 125 2000 On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003Cheeger, Jeff 100 1979 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 100 1986 A lower bound for the heat kernel. Zbl 0481.35003Cheeger, Jeff; Yau, Shing-Tung 90 1981 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 87 1986 Differential characters and geometric invariants. Zbl 0621.57010Cheeger, Jeff; Simons, James 84 1985 On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002Cheeger, Jeff 83 1980 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 80 1989 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 79 1985 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 78 1992 On the curvature of piecewise flat spaces. Zbl 0559.53028Cheeger, Jeff; Müller, Werner; Schrader, Robert 78 1984 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046Cheeger, J.; Colding, T. H.; Tian, G. 71 2002 Some examples of manifolds of nonnegative curvature. Zbl 0281.53040Cheeger, Jeff 65 1973 On the diffraction of waves by conical singularities. I. Zbl 0526.58049Cheeger, Jeff; Taylor, Michael 62 1982 \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021Anderson, Michael T.; Cheeger, Jeff 59 1992 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 56 1990 Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003Cheeger, Jeff; Ebin, David G. 55 2008 Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024Cheeger, Jeff 54 2001 \(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008Cheeger, Jeff; Goresky, Mark; MacPherson, Robert 52 1982 Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053Cheeger, Jeff; Naber, Aaron 50 2013 On the diffraction of waves by conical singularities. II. Zbl 0536.58032Cheeger, Jeff; Taylor, Michael 46 1982 Critical points of distance functions and applications to geometry. Zbl 0771.53015Cheeger, Jeff 45 1991 Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057Cheeger, Jeff; Naber, Aaron 45 2015 Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009Cheeger, Jeff; Kleiner, Bruce 41 2010 On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034Cheeger, Jeff; Tian, Gang 40 1994 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 34 1985 Critical sets of elliptic equations. Zbl 1309.35012Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 33 2015 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 29 1990 \(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021Cheeger, Jeff 28 1987 Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 27 2011 On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004Cheeger, Jeff; Kleiner, Bruce 27 2006 Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026Anderson, Michael T.; Cheeger, Jeff 26 1991 Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063Cheeger, Jeff; Naber, Aaron 26 2013 Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034Cheeger, Jeff; Tian, Gang 24 2006 Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051Cheeger, J. 23 2003 Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013Cheeger, Jeff; Kleiner, Bruce 21 2010 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 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 18 1990 Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012Cheeger, Jeff; Kleiner, Bruce 17 2013 Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II 16 1995 Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron 14 2021 A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf 14 2009 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016Cheeger, Jeff; Kleiner, Bruce 14 2015 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 13 1991 Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058Cheeger, J.; Müller, W.; Schrader, R. 13 1986 Counting topological manifolds. Zbl 0199.58403Cheeger, J.; Kister, J. M. 12 1970 The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201Cheeger, J. 12 1968 Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028Cheeger, Jeff 11 2003 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 11 2016 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 The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101Cheeger, J.; Gromoll, D. 9 1968 Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004Cheeger, 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 0768.58048Bismut, Jean-Michel; Cheeger, Jeff 8 1992 Quantitative differentiation: a general formulation. Zbl 1258.30027Cheeger, Jeff 8 2012 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 Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038Cheeger, Jeff; Tian, Gang 7 2005 On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035Cheeger, Jeff; Gromoll, Detlef 6 1980 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 6 1997 Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter. Zbl 0863.53026Cheeger, J.; Rong, X. 6 1996 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 Hodge theory of complex cones. Zbl 0583.58004Cheeger, Jeff 5 1983 \(L^2\)-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 \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034Cheeger, Jeff 5 2002 Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016Cheeger, Jeff; Kleiner, Bruce 4 2008 Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 4 2001 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 A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024Cheeger, Jeff 4 1986 Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 3 2004 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 Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005 1 2007 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 Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron 14 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 11 2016 Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057Cheeger, Jeff; Naber, Aaron 45 2015 Critical sets of elliptic equations. Zbl 1309.35012Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 33 2015 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016Cheeger, Jeff; Kleiner, Bruce 14 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 50 2013 Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063Cheeger, Jeff; Naber, Aaron 26 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 17 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 27 2011 Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009Cheeger, Jeff; Kleiner, Bruce 41 2010 Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013Cheeger, Jeff; Kleiner, Bruce 21 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 14 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. 55 2008 Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016Cheeger, Jeff; Kleiner, Bruce 4 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 27 2006 Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034Cheeger, Jeff; Tian, Gang 24 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 3 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. 71 2002 \(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034Cheeger, Jeff 5 2002 Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024Cheeger, Jeff 54 2001 Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun 4 2001 On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043Cheeger, Jeff; Colding, Tobias H. 147 2000 On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042Cheeger, Jeff; Colding, Tobias H. 125 2000 Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018Cheeger, J. 455 1999 On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034Cheeger, Jeff; Colding, Tobias H. 280 1997 Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018Cheeger, Jeff; Colding, Tobias H.; Tian, Gang 6 1997 Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037Cheeger, Jeff; Colding, Tobias H. 220 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 16 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 40 1994 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 78 1992 \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021Anderson, Michael T.; Cheeger, Jeff 59 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 8 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 26 1991 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 13 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 56 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 29 1990 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 18 1990 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 80 1989 \(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021Cheeger, Jeff 28 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 100 1986 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 87 1986 Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058Cheeger, J.; Müller, W.; Schrader, R. 13 1986 A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024Cheeger, Jeff 4 1986 Differential characters and geometric invariants. Zbl 0621.57010Cheeger, Jeff; Simons, James 84 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 79 1985 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 34 1985 On the curvature of piecewise flat spaces. Zbl 0559.53028Cheeger, Jeff; Müller, Werner; Schrader, Robert 78 1984 Spectral geometry of singular Riemannian spaces. Zbl 0529.58034Cheeger, Jeff 158 1983 Hodge theory of complex cones. Zbl 0583.58004Cheeger, Jeff 5 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 320 1982 On the diffraction of waves by conical singularities. I. Zbl 0526.58049Cheeger, Jeff; Taylor, Michael 62 1982 \(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008Cheeger, Jeff; Goresky, Mark; MacPherson, Robert 52 1982 On the diffraction of waves by conical singularities. II. Zbl 0536.58032Cheeger, Jeff; Taylor, Michael 46 1982 A lower bound for the heat kernel. Zbl 0481.35003Cheeger, Jeff; Yau, Shing-Tung 90 1981 On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002Cheeger, Jeff 83 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 145 1979 On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003Cheeger, Jeff 100 1979 Analytic torsion and Reidemeister torsion. Zbl 0358.57005Cheeger, Jeff 19 1977 Comparison theorems in Riemannian geometry. Zbl 0309.53035Cheeger, Jeff; Ebin, David G. 466 1975 Some examples of manifolds of nonnegative curvature. Zbl 0281.53040Cheeger, Jeff 65 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 307 1972 The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033Cheeger, Jeff; Gromoll, Detlef 211 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. 184 1970 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902Cheeger, J. 141 1970 Counting topological manifolds. Zbl 0199.58403Cheeger, J.; Kister, J. M. 12 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 2,944 Authors 32 Cheeger, Jeff 32 Gigli, Nicola 26 Shanmugalingam, Nageswari 25 Wei, Guofang 24 Lott, John 22 Ambrosio, Luigi 22 Tian, Gang 21 Honda, Shouhei 20 Dai, Xianzhe 20 Naber, Aaron C. 19 Björn, Jana 17 Mondino, Andrea 17 Naor, Assaf 17 Rong, Xiaochun 17 Shiohama, Katsuhiro 17 Vertman, Boris 16 Donnelly, Harold 15 Björn, Anders 15 Kleiner, Bruce 15 Koskela, Pekka 14 Anderson, Michael T. 14 Taylor, Michael Eugene 13 Chen, Xiuxiong 13 Kapovitch, Vitali 13 Piazza, Paolo 12 Bismut, Jean-Michel 12 Grove, Karsten 12 Le Donne, Enrico 12 Pasqualetto, Enrico 12 Savaré, Giuseppe 12 Speight, Gareth 12 Wang, Bing 12 Xia, Changyu 12 Yamaguchi, Takao 12 Zhang, Weiping 11 Brüning, Jochen 11 Chow, Bennett 11 Colding, Tobias Holck 11 Galaz-Garcia, Fernando 11 Ludwig, Ursula Beate 11 Ma, Xiaonan 11 Mazzeo, Rafe R. 11 Pinamonti, Andrea 11 Rochon, Frédéric 11 Wilhelm, Frederick H. jun. 11 Yan, Lixin 10 Albin, Pierre 10 Bunke, Ulrich 10 Gromov, Mikhael Leonidovich 10 Guijarro, Luis 10 Innami, Nobuhiro 10 Kondo, Kei-Ichi 10 Petersen, Peter V 10 Saloff-Coste, Laurent 10 Shen, Zhongmin 10 Zhang, Zhenlei 9 Baudoin, Fabrice 9 Cao, Jianguo 9 Carron, Gilles 9 Jiang, Renjin 9 Li, Chi 9 Li, Hongquan 9 Li, Peter 9 Marola, Niko 9 Nagase, Masayoshi 9 Rajala, Tapio 9 Spreafico, Mauro 9 Tam, Luen-Fai 9 Tanaka, Minoru 9 Wang, Feng-Yu 9 Weinberger, Shmuel 9 Xu, Shicheng 9 Yau, Shing-Tung 9 Zhang, Huichun 8 Cochran, Thomas (Tim) Daniel 8 Eriksson-Bique, Sylvester 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 Itokawa, Yoe 8 Jiang, Wenshuai 8 Lu, Zhiqin 8 Mari, Luciano 8 Noronha, Maria Helena 8 Pan, Jiayin 8 Sauer, Roman 8 Schick, Thomas 8 Searle, Catherine 8 Shen, Shu 8 Sormani, Christina 8 Sun, Song 8 Tyson, Jeremy T. 8 Wang, Feng 8 Wang, Linfeng 8 Wang, Yusheng 8 Wu, Hung-Hsi ...and 2,844 more Authors all top 5 Cited in 398 Serials 152 The Journal of Geometric Analysis 134 Journal of Functional Analysis 130 Proceedings of the American Mathematical Society 126 Transactions of the American Mathematical Society 109 Mathematische Zeitschrift 96 Advances in Mathematics 87 Inventiones Mathematicae 85 Duke Mathematical Journal 85 Annals of Global Analysis and Geometry 82 Mathematische Annalen 81 Communications in Mathematical Physics 77 Calculus of Variations and Partial Differential Equations 67 Differential Geometry and its Applications 64 Geometric and Functional Analysis. GAFA 56 Geometriae Dedicata 54 Journal of Geometry and Physics 54 Geometry & Topology 53 Annales de l’Institut Fourier 49 Manuscripta Mathematica 43 Journal für die Reine und Angewandte Mathematik 37 Journal of Mathematical Analysis and Applications 33 Potential Analysis 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Tôhoku Mathematical Journal. Second Series 32 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 28 Revista Matemática Iberoamericana 28 Bulletin of the American Mathematical Society. New Series 27 Communications on Pure and Applied Mathematics 26 Israel Journal of Mathematics 24 Journal of Mathematical Physics 24 Acta Mathematica 23 Communications in Contemporary Mathematics 22 Journal of the American Mathematical Society 20 Analysis and Geometry in Metric Spaces 19 Archiv der Mathematik 19 Compositio Mathematica 19 Siberian Mathematical Journal 19 Communications in Partial Differential Equations 19 Science China. Mathematics 18 Journal d’Analyse Mathématique 18 International Journal of Mathematics 17 Journal of Differential Equations 16 Journal of the European Mathematical Society (JEMS) 16 Frontiers of Mathematics in China 15 Bulletin de la Société Mathématique de France 15 Annals of Mathematics. Second Series 15 Journal of High Energy Physics 15 Algebraic & Geometric Topology 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Topology and its Applications 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Analysis & PDE 13 Journal of Topology and Analysis 12 Annales Henri Poincaré 11 The Annals of Probability 11 Illinois Journal of Mathematics 11 Publications Mathématiques 11 Journal of the Mathematical Society of Japan 11 Kodai Mathematical Journal 11 Mathematische Nachrichten 11 Results in Mathematics 11 Chinese Annals of Mathematics. Series B 11 Probability Theory and Related Fields 11 Bulletin des Sciences Mathématiques 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 General Relativity and Gravitation 10 Nagoya Mathematical Journal 10 \(K\)-Theory 10 Journal of Mathematical Sciences (New York) 9 Letters in Mathematical Physics 9 Mathematical Notes 9 Commentarii Mathematici Helvetici 9 Memoirs of the American Mathematical Society 9 Discrete & Computational Geometry 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Monatshefte für Mathematik 8 Pacific Journal of Mathematics 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Linear Algebra and its Applications 8 Acta Mathematica Sinica. English Series 8 Bulletin of the American Mathematical Society 8 Groups, Geometry, and Dynamics 8 Advances in Calculus of Variations 7 Wave Motion 7 Journal of Differential Geometry 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 Annales Academiae Scientiarum Fennicae. Mathematica 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 International Journal of Geometric Methods in Modern Physics 7 Journal of Noncommutative Geometry 7 Journal of Spectral Theory 7 Annales Fennici Mathematici 6 Discrete Mathematics 6 Bulletin of the London Mathematical Society 6 Proceedings of the Japan Academy. Series A 6 Annales Mathématiques Blaise Pascal ...and 298 more Serials all top 5 Cited in 61 Fields 1,936 Differential geometry (53-XX) 1,031 Global analysis, analysis on manifolds (58-XX) 453 Partial differential equations (35-XX) 430 Manifolds and cell complexes (57-XX) 253 Functional analysis (46-XX) 204 Several complex variables and analytic spaces (32-XX) 173 Calculus of variations and optimal control; optimization (49-XX) 162 Functions of a complex variable (30-XX) 151 Potential theory (31-XX) 139 Probability theory and stochastic processes (60-XX) 127 Algebraic topology (55-XX) 124 Algebraic geometry (14-XX) 123 Quantum theory (81-XX) 113 Topological groups, Lie groups (22-XX) 104 Operator theory (47-XX) 101 Measure and integration (28-XX) 87 Relativity and gravitational theory (83-XX) 84 Group theory and generalizations (20-XX) 83 Combinatorics (05-XX) 77 Dynamical systems and ergodic theory (37-XX) 74 Convex and discrete geometry (52-XX) 69 Real functions (26-XX) 68 Harmonic analysis on Euclidean spaces (42-XX) 60 Abstract harmonic analysis (43-XX) 59 \(K\)-theory (19-XX) 49 Geometry (51-XX) 48 General topology (54-XX) 40 Number theory (11-XX) 37 Numerical analysis (65-XX) 34 Computer science (68-XX) 28 Operations research, mathematical programming (90-XX) 26 Ordinary differential equations (34-XX) 26 Statistics (62-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Mechanics of particles and systems (70-XX) 15 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 13 Information and communication theory, circuits (94-XX) 12 Special functions (33-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Approximations and expansions (41-XX) 11 Systems theory; control (93-XX) 10 Category theory; homological algebra (18-XX) 10 Optics, electromagnetic theory (78-XX) 9 Mathematical logic and foundations (03-XX) 9 Commutative algebra (13-XX) 9 Nonassociative rings and algebras (17-XX) 7 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 6 History and biography (01-XX) 6 Integral transforms, operational calculus (44-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Associative rings and algebras (16-XX) 5 Biology and other natural sciences (92-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 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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