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Author ID: cheeger.jeff Recent zbMATH articles by "Cheeger, Jeff"
Published as: Cheeger, Jeff; Cheeger, J.; Cheeger, Jeffrey
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

Publications by Year

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 0942.58018
Cheeger, J.
485
1999
Comparison theorems in Riemannian geometry. Zbl 0309.53035
Cheeger, 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 0493.53035
Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael
333
1982
On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049
Cheeger, Jeff; Gromoll, Detlef
317
1972
On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034
Cheeger, Jeff; Colding, Tobias H.
313
1997
Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037
Cheeger, Jeff; Colding, Tobias H.
247
1996
A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903
Cheeger, J.
228
1970
The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033
Cheeger, Jeff; Gromoll, Detlef
227
1971
Spectral geometry of singular Riemannian spaces. Zbl 0529.58034
Cheeger, Jeff
171
1983
On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043
Cheeger, Jeff; Colding, Tobias H.
168
2000
Finiteness theorems for Riemannian manifolds. Zbl 0194.52902
Cheeger, J.
147
1970
Analytic torsion and the heat equation. Zbl 0412.58026
Cheeger, Jeff
146
1979
On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042
Cheeger, Jeff; Colding, Tobias H.
143
2000
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
106
1986
On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003
Cheeger, Jeff
104
1979
Differential characters and geometric invariants. Zbl 0621.57010
Cheeger, Jeff; Simons, James
103
1985
A lower bound for the heat kernel. Zbl 0481.35003
Cheeger, Jeff; Yau, Shing-Tung
93
1981
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
91
1986
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
88
1989
On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002
Cheeger, Jeff
87
1980
On the curvature of piecewise flat spaces. Zbl 0559.53028
Cheeger, 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 0614.53034
Cheeger, Jeff; Gromov, Mikhael
82
1985
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
81
1992
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
76
2002
Some examples of manifolds of nonnegative curvature. Zbl 0281.53040
Cheeger, Jeff
66
1973
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
65
1982
\(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008
Cheeger, Jeff; Goresky, Mark; MacPherson, Robert
61
1982
\(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021
Anderson, Michael T.; Cheeger, Jeff
60
1992
Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024
Cheeger, Jeff
60
2001
Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003
Cheeger, Jeff; Ebin, David G.
59
2008
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
58
1990
Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057
Cheeger, Jeff; Naber, Aaron
57
2015
Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053
Cheeger, Jeff; Naber, Aaron
56
2013
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
48
1982
On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034
Cheeger, Jeff; Tian, Gang
45
1994
Critical points of distance functions and applications to geometry. Zbl 0771.53015
Cheeger, Jeff
45
1991
Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009
Cheeger, Jeff; Kleiner, Bruce
42
2010
Critical sets of elliptic equations. Zbl 1309.35012
Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele
36
2015
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
35
1985
\(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021
Cheeger, Jeff
32
1987
Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007
Cheeger, Jeff; Kleiner, Bruce
32
2009
Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021
Bismut, Jean-Michel; Cheeger, Jeff
32
1990
Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
30
2011
Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026
Anderson, Michael T.; Cheeger, Jeff
29
1991
On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004
Cheeger, Jeff; Kleiner, Bruce
28
2006
Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063
Cheeger, Jeff; Naber, Aaron
27
2013
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
26
2006
Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below. Zbl 1469.53083
Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron
26
2021
Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032
Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II
24
1995
Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013
Cheeger, Jeff; Kleiner, Bruce
24
2010
Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051
Cheeger, J.
23
2003
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
21
1990
Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron
20
2013
Analytic torsion and Reidemeister torsion. Zbl 0358.57005
Cheeger, Jeff
19
1977
Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012
Cheeger, Jeff; Kleiner, Bruce
19
2013
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
16
2015
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
16
1991
A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
15
2009
Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058
Cheeger, J.; Müller, W.; Schrader, R.
14
1986
Counting topological manifolds. Zbl 0199.58403
Cheeger, J.; Kister, J. M.
14
1970
The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201
Cheeger, J.
12
1968
Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047
Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea
12
2016
Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028
Cheeger, Jeff
11
2003
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
Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081
Cheeger, 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 0768.58048
Bismut, Jean-Michel; Cheeger, Jeff
9
1992
Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004
Cheeger, Jeff; Kleiner, Bruce
9
2006
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
8
2012
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
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
7
1969
Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301
Cheeger, J.
7
1969
On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035
Cheeger, Jeff; Gromoll, Detlef
6
1980
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
A combinatorial formula for Stiefel-Whitney classes. Zbl 0282.57009
Cheeger, Jeff
6
1971
Multiplication of differential characters. Zbl 0285.53014
Cheeger, Jeff
6
1973
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
\(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013
Cheeger, Jeff; Dai, Xianzhe
5
2009
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
5
1991
Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016
Cheeger, Jeff; Kleiner, Bruce
5
2008
A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024
Cheeger, Jeff
5
1986
Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050
Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun
4
2004
Hodge theory of complex cones. Zbl 0583.58004
Cheeger, 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 0645.58036
Bismut, Jean-Michel; Cheeger, Jeff
4
1987
Structure theory and convergence in Riemannian geometry. Zbl 1205.53034
Cheeger, Jeff
2
2010
On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050
Cheeger, Jeff
2
1987
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
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 1469.53083
Cheeger, Jeff; Jiang, Wenshuai; Naber, Aaron
26
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
12
2016
Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057
Cheeger, Jeff; Naber, Aaron
57
2015
Critical sets of elliptic equations. Zbl 1309.35012
Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele
36
2015
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
16
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
56
2013
Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063
Cheeger, Jeff; Naber, Aaron
27
2013
Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron
20
2013
Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012
Cheeger, Jeff; Kleiner, Bruce
19
2013
Quantitative differentiation: a general formulation. Zbl 1258.30027
Cheeger, Jeff
8
2012
Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
30
2011
Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009
Cheeger, Jeff; Kleiner, Bruce
42
2010
Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013
Cheeger, Jeff; Kleiner, Bruce
24
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
32
2009
A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
15
2009
\(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013
Cheeger, Jeff; Dai, Xianzhe
5
2009
Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003
Cheeger, Jeff; Ebin, David G.
59
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
28
2006
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
26
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.
23
2003
Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028
Cheeger, Jeff
11
2003
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
76
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
60
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.
168
2000
On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042
Cheeger, Jeff; Colding, Tobias H.
143
2000
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
Cheeger, J.
485
1999
On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034
Cheeger, Jeff; Colding, Tobias H.
313
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.
247
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
24
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
45
1994
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
81
1992
\(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021
Anderson, 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 0768.58048
Bismut, Jean-Michel; Cheeger, Jeff
9
1992
Critical points of distance functions and applications to geometry. Zbl 0771.53015
Cheeger, Jeff
45
1991
Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026
Anderson, Michael T.; Cheeger, Jeff
29
1991
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
16
1991
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
5
1991
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
58
1990
Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021
Bismut, Jean-Michel; Cheeger, Jeff
32
1990
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
21
1990
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
88
1989
\(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021
Cheeger, 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 0645.58036
Bismut, Jean-Michel; Cheeger, Jeff
4
1987
On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050
Cheeger, Jeff
2
1987
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
106
1986
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
91
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
5
1986
Differential characters and geometric invariants. Zbl 0621.57010
Cheeger, Jeff; Simons, James
103
1985
Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034
Cheeger, Jeff; Gromov, Mikhael
82
1985
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
35
1985
On the curvature of piecewise flat spaces. Zbl 0559.53028
Cheeger, Jeff; Müller, Werner; Schrader, Robert
85
1984
Spectral geometry of singular Riemannian spaces. Zbl 0529.58034
Cheeger, Jeff
171
1983
Hodge theory of complex cones. Zbl 0583.58004
Cheeger, Jeff
4
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
333
1982
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
65
1982
\(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008
Cheeger, Jeff; Goresky, Mark; MacPherson, Robert
61
1982
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
48
1982
A lower bound for the heat kernel. Zbl 0481.35003
Cheeger, Jeff; Yau, Shing-Tung
93
1981
On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002
Cheeger, Jeff
87
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
146
1979
On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003
Cheeger, Jeff
104
1979
Analytic torsion and Reidemeister torsion. Zbl 0358.57005
Cheeger, Jeff
19
1977
Comparison theorems in Riemannian geometry. Zbl 0309.53035
Cheeger, Jeff; Ebin, David G.
481
1975
Some examples of manifolds of nonnegative curvature. Zbl 0281.53040
Cheeger, Jeff
66
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
317
1972
The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033
Cheeger, Jeff; Gromoll, Detlef
227
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.
228
1970
Finiteness theorems for Riemannian manifolds. Zbl 0194.52902
Cheeger, J.
147
1970
Counting topological manifolds. Zbl 0199.58403
Cheeger, J.; Kister, J. M.
14
1970
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
7
1969
Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301
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 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

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