Jeff Cheeger (born December 1, 1943) is an American mathematician and Silver Professor at the Courant Institute of Mathematical Sciences of New York University...
10 KB (957 words) - 09:09, 5 October 2024
of a hypersurface that divides M into two disjoint pieces. In 1971, Jeff Cheeger proved an inequality that related the first nontrivial eigenvalue of...
4 KB (528 words) - 17:31, 14 April 2024
after the Cheeger isoperimetric constant of a compact Riemannian manifold. The Cheeger constant is named after the mathematician Jeff Cheeger. Let G be...
6 KB (873 words) - 02:22, 8 May 2024
manifolds of non-negative sectional curvature to that of the compact case. Jeff Cheeger and Detlef Gromoll proved the theorem in 1972 by generalizing a 1969...
8 KB (943 words) - 17:59, 19 September 2024
interval is a curve of minimal length that connects its endpoints. In 1971, Jeff Cheeger and Detlef Gromoll proved that if a geodesically complete and connected...
9 KB (948 words) - 21:31, 11 November 2024
at the 1994 International Congress of Mathematicians.[P95a] In 1972, Jeff Cheeger and Detlef Gromoll established their important soul theorem. It asserts...
65 KB (6,326 words) - 13:44, 17 December 2024
formulation. Most of the results can be found in the classic monograph by Jeff Cheeger and D. Ebin (see below). The formulations given are far from being very...
13 KB (1,471 words) - 19:44, 27 December 2024
Analytic torsion (section Cheeger–Müller theorem)
Singer (1971, 1973a, 1973b) as an analytic analogue of Reidemeister torsion. Jeff Cheeger (1977, 1979) and Werner Müller (1978) proved Ray and Singer's conjecture...
14 KB (2,129 words) - 08:30, 2 August 2024
Bibcode:1971PNAS...68..791C. doi:10.1073/pnas.68.4.791. PMC 389044. PMID 16591916. Cheeger, J.; Simons, J. (1973). "Differential characters and geometric invariants"...
64 KB (5,052 words) - 02:57, 20 December 2024
dimension. As a postdoc and later assistant professor at MIT, Naber and Jeff Cheeger introduced the notion of quantitative stratification to Lower Ricci curvature...
10 KB (1,063 words) - 15:40, 1 January 2025
Birkhäuser Boston, Inc., Boston, MA, 1992. xiv+300 pp. ISBN 0-8176-3490-8 Jeff Cheeger and David G. Ebin. Comparison theorems in Riemannian geometry. Revised...
7 KB (1,433 words) - 06:34, 14 June 2023
LeCun won the 1996 and 2018 Turing Award respectively. In addition, Jeff Cheeger was also awarded the Shaw Prize in Mathematical Sciences in 2021. The...
42 KB (4,448 words) - 16:32, 12 November 2024
was studied cohomologically, independently by Steven Zucker (1978) and Jeff Cheeger (1979). It is closely related to intersection cohomology; indeed, the...
5 KB (541 words) - 15:56, 20 June 2022
Heisenberg group to L1. Acta Math. 207 (2011), no. 2, 291–373 [written with Jeff Cheeger and Bruce Kleiner] 2011 Gunther Uhlmann for "his fundamental work on...
16 KB (2,146 words) - 04:32, 20 December 2024
volume of the manifold.[YY80] Earlier, Yau had modified Jeff Cheeger's analysis of the Cheeger constant so as to be able to estimate the first eigenvalue...
117 KB (10,542 words) - 12:15, 4 January 2025
classes of the collection of 4-manifolds satisfying certain properties (Jeff Cheeger, Aaron Naber, 2014) Gaussian correlation inequality (Thomas Royen, 2014)...
190 KB (19,551 words) - 23:24, 31 December 2024
In mathematics, the Cheeger bound is a bound of the second largest eigenvalue of the transition matrix of a finite-state, discrete-time, reversible stationary...
2 KB (372 words) - 13:39, 14 April 2024
Heidelberg: Springer: 5–49. doi:10.1007/BFb0070595. ISBN 978-3-540-37440-4. Jeff Cheeger and David Gregory Ebin: Comparison theorems in Riemannian Geometry, North...
4 KB (514 words) - 20:21, 4 January 2025
Maryna Viazovska. Together with Jeff Cheeger, he has been awarded the Max-Planck-Forschungspreis in 1991 . The Cheeger–Müller theorem on the analytic torsion...
4 KB (359 words) - 19:19, 26 October 2024
insights that have transformed, and continue to transform, modern geometry. Jeff Cheeger United States 2022 Noga Alon Israel For their remarkable contributions...
80 KB (3,546 words) - 11:54, 4 October 2024
Bueno de Mesquita, professor at Graduate School of Arts and Science Jeff Cheeger, professor at Courant Percy Deift, professor at Courant Paul DiMaggio...
104 KB (5,159 words) - 23:17, 9 December 2024
advisor Erhard Schmidt Doctoral students Richard Askey Eugenio Calabi Jeff Cheeger M. T. Cheng Charles L. Dolph Hillel Furstenberg Robert Gunning Israel...
13 KB (993 words) - 09:42, 18 July 2024
positive scalar curvature. Invent. Math. 130 (1997), no. 1, 1–37. 2001 Jeff Cheeger for: Families index for manifolds with boundary, superconnections, and...
15 KB (1,886 words) - 07:10, 3 January 2025
2022 Richard P. Stanley 2021 Spencer Bloch 2020 Karen Uhlenbeck 2019 Jeff Cheeger 2018 Jean Bourgain 2017 James G. Arthur 2016 Barry Simon 2015 Victor...
32 KB (2,239 words) - 17:45, 19 December 2024
presented this work at the Geometry Festival. He began working with Jeff Cheeger while at NYU. He gave a 45-minute invited address to the ICM on this...
7 KB (827 words) - 05:03, 15 November 2024
sectional curvature of the ith manifold. There is a theorem proved by Jeff Cheeger, Kenji Fukaya and Mikhail Gromov, which states that: There exists a constant...
5 KB (730 words) - 17:49, 8 January 2025
James Henry Bramble Haim Brezis Victor Buchstaber Thomas Ashland Chapman Jeff Cheeger E. W. Cheney Zbigniew Ciesielski Charles Herbert Clemens Alfred Hoblitzelle...
118 KB (10,718 words) - 21:26, 24 November 2024
weaker than Gromov's but allow the manifold to have convex boundary. In Jeff Cheeger's fundamental compactness theory for Riemannian manifolds, a key step...
48 KB (3,749 words) - 07:11, 3 January 2025
Buhrman Kevin Peter Campbell Stephen R. Carpenter Marshall N. Carter Jeff Cheeger Kenneth Irvine Chenault Judith Chevalier Shu Chien Keith Christiansen...
69 KB (7,744 words) - 18:38, 17 November 2024
open problems in Finsler geometry Jeff Cheeger and Blaine Lawson, The mathematical work of James Simons Jeff Cheeger, Ricci Curvature Jürg Fröhlich, Physics...
27 KB (2,867 words) - 16:10, 17 February 2024