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Cheeger, Jeff

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Author ID: cheeger.jeff Recent zbMATH articles by "Cheeger, Jeff"
Published as: Cheeger, J.; Cheeger, Jeff; Cheeger, Jeffrey
Homepage: https://math.nyu.edu/people/profiles/CHEEGER_Jeff.html
External Links: MGP · Wikidata · dblp · GND
Awards: Shaw Prize (2021)
Documents Indexed: 94 Publications since 1968, including 4 Books
Biographic References: 4 Publications

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 4,777 times in 3,079 Documents Cited by Year
Comparison theorems in Riemannian geometry. Zbl 0309.53035
Cheeger, Jeff; Ebin, David G.
452
1975
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
Cheeger, J.
374
1999
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
285
1982
On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049
Cheeger, Jeff; Gromoll, Detlef
279
1972
On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034
Cheeger, Jeff; Colding, Tobias H.
220
1997
The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033
Cheeger, Jeff; Gromoll, Detlef
186
1971
A lower bound for the smallest eigenvalue of the Laplacian. Zbl 0212.44903
Cheeger, J.
170
1970
Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037
Cheeger, Jeff; Colding, Tobias H.
162
1996
Spectral geometry of singular Riemannian spaces. Zbl 0529.58034
Cheeger, Jeff
147
1983
Finiteness theorems for Riemannian manifolds. Zbl 0194.52902
Cheeger, J.
123
1970
Analytic torsion and the heat equation. Zbl 0412.58026
Cheeger, Jeff
119
1979
On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043
Cheeger, Jeff; Colding, Tobias H.
110
2000
Differential characters and geometric invariants. Zbl 0621.57010
Cheeger, Jeff; Simons, James
105
1985
On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042
Cheeger, Jeff; Colding, Tobias H.
95
2000
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
93
1986
On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003
Cheeger, Jeff
87
1979
On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002
Cheeger, Jeff
86
1980
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
82
1986
A lower bound for the heat kernel. Zbl 0481.35003
Cheeger, Jeff; Yau, Shing-Tung
81
1981
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
73
1989
Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034
Cheeger, Jeff; Gromov, Mikhael
73
1985
On the curvature of piecewise flat spaces. Zbl 0559.53028
Cheeger, Jeff; Müller, Werner; Schrader, Robert
69
1984
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
67
1992
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
61
2002
Some examples of manifolds of nonnegative curvature. Zbl 0281.53040
Cheeger, Jeff
60
1973
\(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008
Cheeger, Jeff; Goresky, Mark; MacPherson, Robert
54
1982
\(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021
Anderson, Michael T.; Cheeger, Jeff
51
1992
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
50
1990
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
47
1982
Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024
Cheeger, Jeff
44
2001
Comparison theorems in Riemannian geometry. Reprint of the 1975 original. Zbl 1142.53003
Cheeger, Jeff; Ebin, David G.
42
2008
Critical points of distance functions and applications to geometry. Zbl 0771.53015
Cheeger, Jeff
42
1991
Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009
Cheeger, Jeff; Kleiner, Bruce
39
2010
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
37
1994
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
37
1985
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
36
1982
Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053
Cheeger, Jeff; Naber, Aaron
35
2013
Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057
Cheeger, Jeff; Naber, Aaron
33
2015
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
31
1990
Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007
Cheeger, Jeff; Kleiner, Bruce
29
2009
On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004
Cheeger, Jeff; Kleiner, Bruce
25
2006
\(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021
Cheeger, Jeff
25
1987
Critical sets of elliptic equations. Zbl 1309.35012
Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele
24
2015
Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063
Cheeger, Jeff; Naber, Aaron
24
2013
Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026
Anderson, Michael T.; Cheeger, Jeff
24
1991
Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
23
2011
Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051
Cheeger, J.
20
2003
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
19
2006
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
18
1990
Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013
Cheeger, Jeff; Kleiner, Bruce
17
2010
Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron
16
2013
A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
13
2009
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
13
1991
Analytic torsion and Reidemeister torsion. Zbl 0358.57005
Cheeger, Jeff
13
1977
Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature. Zbl 0871.53032
Cheeger, J.; Colding, T. H.; Minicozzi, W. P. II
12
1995
Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047
Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea
11
2016
Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012
Cheeger, Jeff; Kleiner, Bruce
11
2013
Degeneration of Einstein metrics and metrics with special holonomy. Zbl 1053.53028
Cheeger, Jeff
11
2003
The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201
Cheeger, J.
11
1968
Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron
10
2015
Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058
Cheeger, J.; Müller, W.; Schrader, R.
10
1986
Counting topological manifolds. Zbl 0199.58403
Cheeger, J.; Kister, J. M.
10
1970
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
9
2015
Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\). Zbl 1100.58004
Cheeger, Jeff; Kleiner, Bruce
9
2006
Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024
Cheeger, Jeff; Colding, Tobias H.
9
1995
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
8
1992
The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101
Cheeger, J.; Gromoll, D.
8
1968
Quantitative differentiation: a general formulation. Zbl 1258.30027
Cheeger, Jeff
7
2012
Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301
Cheeger, J.
7
1969
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
7
1969
Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038
Cheeger, Jeff; Tian, Gang
6
2005
Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018
Cheeger, Jeff; Colding, Tobias H.; Tian, Gang
6
1997
Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter. Zbl 0863.53026
Cheeger, J.; Rong, X.
6
1996
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
6
1991
Hodge theory of complex cones. Zbl 0583.58004
Cheeger, Jeff
6
1983
On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds. Zbl 0468.53035
Cheeger, Jeff; Gromoll, Detlef
6
1980
Multiplication of differential characters. Zbl 0285.53014
Cheeger, Jeff
6
1973
A combinatorial formula for Stiefel-Whitney classes. Zbl 0282.57009
Cheeger, Jeff
6
1971
\(L^2\)-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature. Zbl 1222.58013
Cheeger, Jeff; Dai, Xianzhe
5
2009
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
4
2001
Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036
Bismut, Jean-Michel; Cheeger, Jeff
4
1987
A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024
Cheeger, Jeff
4
1986
Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016
Cheeger, Jeff; Kleiner, Bruce
3
2008
Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050
Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun
3
2004
\(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034
Cheeger, Jeff
3
2002
Invariants of flat bundles. Zbl 0332.55020
Cheeger, Jeff
3
1975
On the formulas of Atiyah-Patodi-Singer and Witten. Zbl 0676.58050
Cheeger, Jeff
2
1987
Marcel Berger remembered. Zbl 1377.01033
LeBrun, Claude (ed.); 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
Structure theory and convergence in Riemannian geometry. Zbl 1205.53034
Cheeger, Jeff
1
2010
Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005
Cheeger, Jeffrey (ed.); Grove, Karsten (ed.)
1
2007
Marcel Berger remembered. Zbl 1377.01033
LeBrun, Claude (ed.); 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
11
2016
Regularity of Einstein manifolds and the codimension 4 conjecture. Zbl 1335.53057
Cheeger, Jeff; Naber, Aaron
33
2015
Critical sets of elliptic equations. Zbl 1309.35012
Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele
24
2015
Quantitative stratification and the regularity of harmonic map flow. Zbl 1317.53081
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron
10
2015
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
9
2015
Lower bounds on Ricci curvature and quantitative behavior of singular sets. Zbl 1268.53053
Cheeger, Jeff; Naber, Aaron
35
2013
Quantitative stratification and the regularity of harmonic maps and minimal currents. Zbl 1269.53063
Cheeger, Jeff; Naber, Aaron
24
2013
Quantitative stratification and the regularity of mean curvature flow. Zbl 1277.53064
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron
16
2013
Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). Zbl 1277.46012
Cheeger, Jeff; Kleiner, Bruce
11
2013
Quantitative differentiation: a general formulation. Zbl 1258.30027
Cheeger, Jeff
7
2012
Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). Zbl 1247.46020
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
23
2011
Differentiating maps into \(L^1\), and the geometry of BV functions. Zbl 1194.22009
Cheeger, Jeff; Kleiner, Bruce
39
2010
Metric differentiation, monotonicity and maps to \(L^{1}\). Zbl 1214.46013
Cheeger, Jeff; Kleiner, Bruce
17
2010
Structure theory and convergence in Riemannian geometry. Zbl 1205.53034
Cheeger, Jeff
1
2010
Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property. Zbl 1200.58007
Cheeger, Jeff; Kleiner, Bruce
29
2009
A \((\log n)^{\Omega(1)}\) integrality gap for the sparsest cut SDP. Zbl 1291.90318
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf
13
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.
42
2008
Characterization of the Radon-Nikodym property in terms of inverse limits. Zbl 1191.46016
Cheeger, Jeff; Kleiner, Bruce
3
2008
Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005
Cheeger, Jeffrey (ed.); Grove, Karsten (ed.)
1
2007
On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Zbl 1139.58004
Cheeger, Jeff; Kleiner, Bruce
25
2006
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
19
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
6
2005
Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3. Zbl 1086.53050
Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun
3
2004
Integral bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1086.53051
Cheeger, J.
20
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.
61
2002
\(L_p\)-bounds on curvature, elliptic estimates and rectifiability of singular sets. Zbl 1006.53034
Cheeger, Jeff
3
2002
Degeneration of Riemannian metrics under Ricci curvature bounds. Zbl 1055.53024
Cheeger, Jeff
44
2001
Splittings and \(Cr\)-structures for manifolds with nonpositive sectional curvature. Zbl 1034.53038
Cao, Jianguo; Cheeger, Jeff; Rong, Xiaochun
4
2001
On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043
Cheeger, Jeff; Colding, Tobias H.
110
2000
On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042
Cheeger, Jeff; Colding, Tobias H.
95
2000
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
Cheeger, J.
374
1999
On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034
Cheeger, Jeff; Colding, Tobias H.
220
1997
Constraints on singularities under Ricci curvature bounds. Zbl 0876.53018
Cheeger, Jeff; Colding, Tobias H.; Tian, Gang
6
1997
Lower bounds on Ricci curvature and the almost rigidity of warped products. Zbl 0865.53037
Cheeger, Jeff; Colding, Tobias H.
162
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
12
1995
Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. Zbl 0840.53024
Cheeger, Jeff; Colding, Tobias H.
9
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
37
1994
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
67
1992
\(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below. Zbl 0774.53021
Anderson, Michael T.; Cheeger, Jeff
51
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
8
1992
Critical points of distance functions and applications to geometry. Zbl 0771.53015
Cheeger, Jeff
42
1991
Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded. Zbl 0764.53026
Anderson, Michael T.; Cheeger, Jeff
24
1991
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
13
1991
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
6
1991
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
50
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
31
1990
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
18
1990
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
73
1989
\(\eta\)-invariants, the adiabatic approximation and conical singularities. Zbl 0623.58021
Cheeger, Jeff
25
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
93
1986
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
82
1986
Kinematic and tube formulas for piecewise linear spaces. Zbl 0615.53058
Cheeger, J.; Müller, W.; Schrader, R.
10
1986
A vanishing theorem for piecewise constant curvature spaces. Zbl 0612.53024
Cheeger, Jeff
4
1986
Differential characters and geometric invariants. Zbl 0621.57010
Cheeger, Jeff; Simons, James
105
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
73
1985
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
37
1985
On the curvature of piecewise flat spaces. Zbl 0559.53028
Cheeger, Jeff; Müller, Werner; Schrader, Robert
69
1984
Spectral geometry of singular Riemannian spaces. Zbl 0529.58034
Cheeger, Jeff
147
1983
Hodge theory of complex cones. Zbl 0583.58004
Cheeger, Jeff
6
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
285
1982
\(L^ 2-\)cohomology and intersection homology of singular algebraic varieties. Zbl 0503.14008
Cheeger, Jeff; Goresky, Mark; MacPherson, Robert
54
1982
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
47
1982
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
36
1982
A lower bound for the heat kernel. Zbl 0481.35003
Cheeger, Jeff; Yau, Shing-Tung
81
1981
On the Hodge theory of Riemannian pseudomanifolds. Zbl 0461.58002
Cheeger, Jeff
86
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
119
1979
On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003
Cheeger, Jeff
87
1979
Analytic torsion and Reidemeister torsion. Zbl 0358.57005
Cheeger, Jeff
13
1977
Comparison theorems in Riemannian geometry. Zbl 0309.53035
Cheeger, Jeff; Ebin, David G.
452
1975
Invariants of flat bundles. Zbl 0332.55020
Cheeger, Jeff
3
1975
Some examples of manifolds of nonnegative curvature. Zbl 0281.53040
Cheeger, Jeff
60
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
279
1972
The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033
Cheeger, Jeff; Gromoll, Detlef
186
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.
170
1970
Finiteness theorems for Riemannian manifolds. Zbl 0194.52902
Cheeger, J.
123
1970
Counting topological manifolds. Zbl 0199.58403
Cheeger, J.; Kister, J. M.
10
1970
Pinching theorems for a certain class of Riemannian manifolds. Zbl 0183.50301
Cheeger, J.
7
1969
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
7
1969
The relation between the Laplacian and the diameter for manifolds of non- negative curvature. Zbl 0177.50201
Cheeger, J.
11
1968
The structure of complete manifolds of nonnegative curvature. Zbl 0169.24101
Cheeger, J.; Gromoll, D.
8
1968
all top 5

Cited by 2,709 Authors

32 Cheeger, Jeff
26 Gigli, Nicola
23 Shanmugalingam, Nageswari
22 Ambrosio, Luigi
22 Lott, John
21 Wei, Guofang
19 Björn, Jana
19 Naber, Aaron C.
18 Dai, Xianzhe
18 Tian, Gang
17 Rong, Xiaochun
17 Shiohama, Katsuhiro
16 Donnelly, Harold
16 Honda, Shouhei
15 Björn, Anders
15 Kleiner, Bruce
15 Koskela, Pekka
15 Naor, Assaf
15 Vertman, Boris
13 Anderson, Michael T.
13 Taylor, Michael Eugene
12 Bismut, Jean-Michel
12 Grove, Karsten
12 Savaré, Giuseppe
12 Xia, Changyu
12 Yamaguchi, Takao
12 Zhang, Weiping
11 Brüning, Jochen
11 Bunke, Ulrich
11 Chen, Xiuxiong
11 Galaz-Garcia, Fernando
11 Mazzeo, Rafe R.
11 Mondino, Andrea
11 Piazza, Paolo
11 Speight, Gareth
10 Colding, Tobias Holck
10 Gromov, Mikhael Leonidovich
10 Guijarro, Luis
10 Innami, Nobuhiro
10 Ludwig, Ursula Beate
10 Ma, Xiaonan
10 Petersen, Peter V
10 Pinamonti, Andrea
10 Saloff-Coste, Laurent
10 Wilhelm, Frederick H. jun.
10 Yan, Lixin
9 Bei, Francesco
9 Cao, Jianguo
9 Jiang, Renjin
9 Kapovitch, Vitali
9 Le Donne, Enrico
9 Li, Chi
9 Li, Hongquan
9 Li, Peter
9 Marola, Niko
9 Nagase, Masayoshi
9 Rochon, Frédéric
9 Shen, Zhongmin
9 Spreafico, Mauro
9 Tanaka, Minoru
9 Wang, Bing
9 Wang, Feng-Yu
9 Yau, Shing-Tung
8 Albin, Pierre
8 Carron, Gilles
8 Cochran, Thomas (Tim) Daniel
8 Eschenburg, Jost-Hinrich
8 Fang, Fuquan
8 Freed, Daniel Stuart
8 Greene, Robert Everist
8 Han, Bangxian
8 Itokawa, Yoe
8 Kirsten, Klaus
8 Kondo, Kei-Ichi
8 Noronha, Maria Helena
8 Schick, Thomas
8 Tam, Luen-Fai
8 Tyson, Jeremy T.
8 Weinberger, Shmuel
8 Wu, Hung-Hsi
8 Xu, Shicheng
8 Zhang, Huichun
8 Zhang, Zhenlei
7 Chow, Bennett
7 Ehrlich, Paul Ewing
7 Grigor’yan, Alexander Asaturovich
7 Haskell, Peter
7 Haslhofer, Robert
7 Heinonen, Juha
7 Kuz’minov, Vladimir I.
7 Loya, Paul A.
7 Lu, Zhiqin
7 Lyalinov, Mikhail Anatolievich
7 Ma, Li
7 Marenich, Valery B.
7 Qing, Jie
7 Rajala, Tapio
7 Sauer, Roman
7 Searle, Catherine
7 Shioya, Takashi
...and 2,609 more Authors
all top 5

Cited in 358 Serials

125 Journal of Functional Analysis
124 Proceedings of the American Mathematical Society
121 Transactions of the American Mathematical Society
112 The Journal of Geometric Analysis
95 Mathematische Zeitschrift
91 Advances in Mathematics
83 Inventiones Mathematicae
82 Duke Mathematical Journal
80 Annals of Global Analysis and Geometry
76 Communications in Mathematical Physics
75 Mathematische Annalen
64 Differential Geometry and its Applications
63 Calculus of Variations and Partial Differential Equations
60 Geometric and Functional Analysis. GAFA
56 Journal of Geometry and Physics
53 Geometriae Dedicata
48 Annales de l’Institut Fourier
48 Manuscripta Mathematica
42 Geometry & Topology
35 Journal of Mathematical Analysis and Applications
32 Potential Analysis
31 Journal für die Reine und Angewandte Mathematik
30 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Tohoku Mathematical Journal. Second Series
30 Journal de Mathématiques Pures et Appliquées. Neuvième Série
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Communications on Pure and Applied Mathematics
27 Bulletin of the American Mathematical Society. New Series
24 Israel Journal of Mathematics
24 Journal of Mathematical Physics
24 Acta Mathematica
24 Revista Matemática Iberoamericana
21 Journal of the American Mathematical Society
21 Communications in Contemporary Mathematics
19 Compositio Mathematica
19 Siberian Mathematical Journal
18 Analysis and Geometry in Metric Spaces
16 Journal d’Analyse Mathématique
16 Archiv der Mathematik
16 Frontiers of Mathematics in China
15 International Journal of Mathematics
15 Communications in Partial Differential Equations
15 Annals of Mathematics. Second Series
14 Topology and its Applications
14 Journal of the European Mathematical Society (JEMS)
14 Algebraic & Geometric Topology
14 Science China. Mathematics
13 Bulletin de la Société Mathématique de France
13 Journal of High Energy Physics
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Journal of Differential Equations
12 Journal of Topology and Analysis
11 The Annals of Probability
11 Publications Mathématiques
11 Kodai Mathematical Journal
11 Mathematische Nachrichten
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Bulletin des Sciences Mathématiques
11 Annales Henri Poincaré
10 General Relativity and Gravitation
10 Illinois Journal of Mathematics
10 Journal of the Mathematical Society of Japan
10 Chinese Annals of Mathematics. Series B
10 Probability Theory and Related Fields
10 \(K\)-Theory
10 Journal of Mathematical Sciences (New York)
9 Nagoya Mathematical Journal
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Discrete & Computational Geometry
8 Letters in Mathematical Physics
8 Mathematical Notes
8 Memoirs of the American Mathematical Society
8 Linear Algebra and its Applications
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Bulletin of the American Mathematical Society
7 Discrete Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Wave Motion
7 Monatshefte für Mathematik
7 Pacific Journal of Mathematics
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 International Journal of Geometric Methods in Modern Physics
7 Journal of Noncommutative Geometry
7 Groups, Geometry, and Dynamics
6 Nuclear Physics. B
6 Bulletin of the London Mathematical Society
6 Commentarii Mathematici Helvetici
6 Journal of Pure and Applied Algebra
6 Proceedings of the Japan Academy. Series A
6 Results in Mathematics
6 St. Petersburg Mathematical Journal
6 Discrete and Continuous Dynamical Systems
6 Acta Mathematica Sinica. English Series
6 Japanese Journal of Mathematics. 3rd Series
5 Modern Physics Letters A
5 International Journal of Theoretical Physics
5 Journal of Soviet Mathematics
...and 258 more Serials
all top 5

Cited in 60 Fields

1,699 Differential geometry (53-XX)
931 Global analysis, analysis on manifolds (58-XX)
398 Manifolds and cell complexes (57-XX)
383 Partial differential equations (35-XX)
221 Functional analysis (46-XX)
178 Several complex variables and analytic spaces (32-XX)
139 Calculus of variations and optimal control; optimization (49-XX)
133 Functions of a complex variable (30-XX)
132 Potential theory (31-XX)
127 Probability theory and stochastic processes (60-XX)
123 Algebraic topology (55-XX)
118 Quantum theory (81-XX)
111 Algebraic geometry (14-XX)
106 Topological groups, Lie groups (22-XX)
95 Operator theory (47-XX)
82 Measure and integration (28-XX)
81 Relativity and gravitational theory (83-XX)
80 Group theory and generalizations (20-XX)
75 Combinatorics (05-XX)
69 Dynamical systems and ergodic theory (37-XX)
66 Convex and discrete geometry (52-XX)
55 Abstract harmonic analysis (43-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
52 Real functions (26-XX)
50 \(K\)-theory (19-XX)
41 General topology (54-XX)
39 Geometry (51-XX)
38 Number theory (11-XX)
32 Numerical analysis (65-XX)
26 Computer science (68-XX)
23 Operations research, mathematical programming (90-XX)
22 Ordinary differential equations (34-XX)
22 Statistical mechanics, structure of matter (82-XX)
20 Statistics (62-XX)
15 Fluid mechanics (76-XX)
13 Information and communication theory, circuits (94-XX)
12 Mechanics of particles and systems (70-XX)
12 Mechanics of deformable solids (74-XX)
12 Systems theory; control (93-XX)
11 Approximations and expansions (41-XX)
10 Commutative algebra (13-XX)
10 Special functions (33-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Optics, electromagnetic theory (78-XX)
8 Mathematical logic and foundations (03-XX)
8 Nonassociative rings and algebras (17-XX)
8 Category theory; homological algebra (18-XX)
7 General and overarching topics; collections (00-XX)
6 History and biography (01-XX)
6 Integral transforms, operational calculus (44-XX)
5 Associative rings and algebras (16-XX)
5 Difference and functional equations (39-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Biology and other natural sciences (92-XX)
3 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 Field theory and polynomials (12-XX)
1 Mathematics education (97-XX)

Citations by Year

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