Jeff Cheeger - Publications

Affiliations: 
New York University, New York, NY, United States 
Area:
Mathematics

50 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Cheeger J, Kleiner B, Schioppa A. Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation Analysis and Geometry in Metric Spaces. 4: 104-159. DOI: 10.1515/Agms-2016-0005  0.397
2015 Cheeger J, Naber A. Regularity of Einstein manifolds and the codimension 4 conjecture Annals of Mathematics. 182: 1093-1165. DOI: 10.4007/Annals.2015.182.3.5  0.462
2015 Cheeger J, Kleiner B. Inverse Limit Spaces Satisfying a Poincaré Inequality Analysis and Geometry in Metric Spaces. 3: 15-39. DOI: 10.1515/Agms-2015-0002  0.457
2015 Cheeger J, Haslhofer R, Naber A. Quantitative stratification and the regularity of harmonic map flow Calculus of Variations and Partial Differential Equations. 53: 365-381. DOI: 10.1007/S00526-014-0752-7  0.392
2015 Cheeger J, Naber A, Valtorta D. Critical sets of elliptic equations Communications On Pure and Applied Mathematics. 68: 173-209. DOI: 10.1002/Cpa.21518  0.356
2013 Cheeger J, Naber A. Lower bounds on Ricci curvature and quantitative behavior of singular sets Inventiones Mathematicae. 191: 321-339. DOI: 10.1007/S00222-012-0394-3  0.44
2013 Cheeger J, Haslhofer R, Naber A. Quantitative Stratification and the Regularity of Mean Curvature Flow Geometric and Functional Analysis. 23: 828-847. DOI: 10.1007/S00039-013-0224-9  0.367
2013 Cheeger J, Kleiner B. Realization of Metric Spaces as Inverse Limits, and Bilipschitz Embedding in L1 Geometric and Functional Analysis. 23: 96-133. DOI: 10.1007/S00039-012-0201-8  0.462
2013 Cheeger J, Naber A. Quantitative stratification and the regularity of harmonic maps and minimal currents Communications On Pure and Applied Mathematics. 66: 965-990. DOI: 10.1002/Cpa.21446  0.387
2012 Cheeger J. Quantitative differentiation: A general formulation Communications On Pure and Applied Mathematics. 65: 1641-1670. DOI: 10.1002/Cpa.21424  0.339
2011 Cheeger J, Kleiner B, Naor A. Compression bounds for Lipschitz maps from the Heisenberg group to L 1 Acta Mathematica. 207: 291-373. DOI: 10.1007/S11511-012-0071-9  0.376
2010 Cheeger J, Kleiner B. Differentiating maps into L1, and the geometry of BV functions Annals of Mathematics. 171: 1347-1385. DOI: 10.4007/Annals.2010.171.1347  0.424
2010 Cheeger J, Kleiner B. Metric differentiation, monotonicity and maps to L1 Inventiones Mathematicae. 182: 335-370. DOI: 10.1007/S00222-010-0264-9  0.384
2010 Cheeger J. Structure theory and convergence in Riemannian geometry Milan Journal of Mathematics. 78: 221-264. DOI: 10.1007/S00032-010-0117-4  0.318
2009 Cheeger J, Kleiner B. Differentiability of lipschitz maps from metric measure spaces to banach spaces with the radon-nikodym property Geometric and Functional Analysis. 19: 1017-1028. DOI: 10.1007/S00039-009-0030-6  0.455
2006 Cheeger J, Kleiner B. Generalized differentiation and bi-Lipschitz nonembedding in L1**The first author was partially supported by NSF Grant DMS 0105128 and the second by NSF Grant DMS 0505610 Comptes Rendus Mathematique. 343: 297-301. DOI: 10.1016/J.Crma.2006.07.001  0.431
2005 Cheeger J, Tian G. Anti-self-duality of curvature and degeneration of metrics with special holonomy Communications in Mathematical Physics. 255: 391-417. DOI: 10.1007/S00220-004-1279-0  0.434
2004 Cao J, Cheeger J, Rong X. Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3 Communications in Analysis and Geometry. 12: 389-415. DOI: 10.4310/Cag.2004.V12.N1.A17  0.369
2003 Cheeger J. Integral bounds on curvature, elliptic estimates and rectifiability of singular sets Geometric and Functional Analysis. 13: 20-72. DOI: 10.1007/S000390300001  0.324
2002 Cheeger J. Lp-bounds on curvature, elliptic estimates and rectifiability of singular sets Comptes Rendus Mathematique. 334: 195-198. DOI: 10.1016/S1631-073X(02)02238-0  0.435
2002 Cheeger J, Colding TH, Tian G. On the singularities of spaces with bounded Ricci curvature Geometric and Functional Analysis. 12: 873-914. DOI: 10.1007/Pl00012649  0.449
2001 Cao J, Cheeger J, Rong X. Splittings and Cr-structures for manifolds with nonpositive sectional curvature Inventiones Mathematicae. 144: 139-167. DOI: 10.1007/Pl00005800  0.378
2000 Cheeger J, Colding TH. On the structure of spaces with Ricci curvature bounded below. III Journal of Differential Geometry. 54: 37-74. DOI: 10.4310/Jdg/1214342145  0.414
1999 Cheeger J. Differentiability of Lipschitz functions on metric measure spaces Geometric and Functional Analysis. 9: 428-517. DOI: 10.1007/S000390050094  0.373
1997 Cheeger J, Colding TH, Tian G. Constraints on singularities under Ricci curvature bounds Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 324: 645-649. DOI: 10.1016/S0764-4442(97)86982-0  0.442
1996 Cheeger J, Colding TH. Lower bounds on Ricci curvature and the almost rigidity of warped products Annals of Mathematics. 144: 189-237. DOI: 10.2307/2118589  0.464
1996 Cheeger J, Rong X. Existence of polarized F-structures on collapsed manifolds with bounded curvature and diameter Geometric and Functional Analysis. 6. DOI: 10.1007/Bf02249258  0.348
1995 Cheeger J, Colding TH, Minicozzi WP. Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature Geometric and Functional Analysis. 5: 948-954. DOI: 10.1007/Bf01902216  0.302
1995 Cheeger J, Rong X. Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry Geometric and Functional Analysis. 5: 141-163. DOI: 10.1007/Bf01895665  0.386
1994 Cheeger J, Tian G. On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay Inventiones Mathematicae. 118: 493-571. DOI: 10.1007/Bf01231543  0.33
1992 Bismut J, Cheeger J. Transgressed Euler classes of ${\rm SL}(2n,\mathbf{Z})$ vector bundles, adiabatic limits of eta invariants and special values of $L$-functions Annales Scientifiques De L Ecole Normale Superieure. 25: 335-391. DOI: 10.24033/Asens.1653  0.355
1992 Cheeger J, Fukaya K, Gromov M. Nilpotent structures and invariant metrics on collapsed manifolds Journal of the American Mathematical Society. 5: 327-372. DOI: 10.1090/S0894-0347-1992-1126118-X  0.365
1991 Anderson MT, Cheeger J. Diffeomorphism finiteness for manifolds with ricci curvature and Ln/2-norm of curvature bounded Geometric and Functional Analysis. 1: 231-252. DOI: 10.1007/Bf01896203  0.42
1990 Bismut JM, Cheeger J. Families index for manifolds with boundary, superconnections and cones. II. The Chern character Journal of Functional Analysis. 90: 306-354. DOI: 10.1016/0022-1236(90)90086-Z  0.308
1989 Bismut JM, Cheeger J. η-invariants and their adiabatic limits Journal of the American Mathematical Society. 2: 70-33. DOI: 10.1090/S0894-0347-1989-0966608-3  0.393
1987 Cheeger J. $\eta$-invariants, the adiabatic approximation and conical singularities. I. The adiabatic approximation Journal of Differential Geometry. 26: 175-221. DOI: 10.4310/Jdg/1214441181  0.331
1985 Cheeger J, Gromov M. Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds Journal of Differential Geometry. 21: 1-34. DOI: 10.4310/Jdg/1214439461  0.395
1984 Cheeger J, Müller W, Schrader R. On the curvature of piecewise flat spaces Communications in Mathematical Physics. 92: 405-454. DOI: 10.1007/Bf01210729  0.447
1983 Cheeger J. Spectral geometry of singular Riemannian spaces Journal of Differential Geometry. 18: 575-657. DOI: 10.4310/Jdg/1214438175  0.301
1982 Cheeger J, Gromov M, Taylor M. Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds Journal of Differential Geometry. 17: 15-53. DOI: 10.4310/Jdg/1214436699  0.32
1980 Cheeger J, Gromoll D. On the lower bound for the injectivity radius of 1/4-pinched riemannian manifolds Journal of Differential Geometry. 15: 437-442. DOI: 10.4310/Jdg/1214435652  0.355
1979 Cheeger J. On the spectral geometry of spaces with cone-like singularities. Proceedings of the National Academy of Sciences of the United States of America. 76: 2103-6. PMID 16592646 DOI: 10.1073/Pnas.76.5.2103  0.454
1977 Cheeger J. Analytic torsion and Reidemeister torsion. Proceedings of the National Academy of Sciences of the United States of America. 74: 2651-4. PMID 16592411 DOI: 10.1073/Pnas.74.7.2651  0.365
1973 Cheeger J. Some examples of manifolds of nonnegative curvature Journal of Differential Geometry. 8: 623-628. DOI: 10.4310/Jdg/1214431964  0.432
1971 Cheeger J, Gromoll D. The splitting theorem for manifolds of nonnegative Ricci curvature Journal of Differential Geometry. 6: 119-128. DOI: 10.4310/Jdg/1214430220  0.461
1970 Cheeger J. Finiteness Theorems For Riemannian Manifolds. American Journal of Mathematics. 92: 61-74. DOI: 10.2307/2373498  0.464
1970 Cheeger J, Kister JM. Counting topological manifolds Topology. 9: 149-151. DOI: 10.1016/0040-9383(70)90036-4  0.358
1969 Cheeger J. Pinching theorems for a certain class of Riemannian manifolds American Journal of Mathematics. 91: 807-834. DOI: 10.2307/2373353  0.395
1968 Cheeger J, Gromoll D. The Structure of Complete Manifolds of Nonnegative Curvature Bulletin of the American Mathematical Society. 74: 1147-1150. DOI: 10.2307/1970819  0.329
1968 Cheeger J. The relation between the laplacian and the diameter for manifolds of non-negative curvature Archiv Der Mathematik. 19: 558-560. DOI: 10.1007/Bf01898781  0.311
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