Cheeger, Jeff
Overview
Works:  38 works in 94 publications in 3 languages and 1,329 library holdings 

Roles:  Author, Editor, Contributor, Dedicatee 
Classifications:  QA649, 516.36 
Publication Timeline
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Most widely held works about
Jeff Cheeger
 Metric and differential geometry the Jeff Cheeger anniversary volume by Xianzhe Dai Xianzhe Dai( Book )
 Cheeger, Jeff Differential Geometry ( )
 Applications of Cheeger's constant to the convergence rate of Markov chains on Rn by Wai Kong Yuen Wai Kong Yuen( Book )
Most widely held works by
Jeff Cheeger
Comparison theorems in riemannian geometry
by
Jeff Cheeger(
Book
)
24 editions published between 1975 and 2009 in 4 languages and held by 638 WorldCat member libraries worldwide
Comparison Theorems in Riemannian Geometry
24 editions published between 1975 and 2009 in 4 languages and held by 638 WorldCat member libraries worldwide
Comparison Theorems in Riemannian Geometry
Geometric topology : recent developments : lectures given on the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 412, 1990
by
Jeff Cheeger(
Book
)
10 editions published in 1991 in English and held by 371 WorldCat member libraries worldwide
Geometric Topology can be defined to be the investigation of global properties of a further structure (e.g. differentiable, Riemannian, complex,algebraic etc.) one can impose on a topological manifold. At the C.I.M.E. session in Montecatini, in 1990, three courses of lectures were given onrecent developments in this subject which is nowadays emerging as one of themost fascinating and promising fields of contemporary mathematics. The notesof these courses are collected in this volume and can be described as: 1) the geometry and the rigidity of discrete subgroups in Lie groups especially in the case of lattices in semisimple groups; 2) the study of the critical points of the distance function and its appication to the understanding of the topology of Riemannian manifolds; 3) the theory of moduli space of instantons as a tool for studying the geometry of lowdimensional manifolds. CONTENTS: J. Cheeger: Critical Points of Distance Functions and Applications to Geometry. M. Gromov, P. Pansu, Rigidity of Lattices: An Introduction. Chr. Okonek: Instanton Invariants and Algebraic Surfaces
10 editions published in 1991 in English and held by 371 WorldCat member libraries worldwide
Geometric Topology can be defined to be the investigation of global properties of a further structure (e.g. differentiable, Riemannian, complex,algebraic etc.) one can impose on a topological manifold. At the C.I.M.E. session in Montecatini, in 1990, three courses of lectures were given onrecent developments in this subject which is nowadays emerging as one of themost fascinating and promising fields of contemporary mathematics. The notesof these courses are collected in this volume and can be described as: 1) the geometry and the rigidity of discrete subgroups in Lie groups especially in the case of lattices in semisimple groups; 2) the study of the critical points of the distance function and its appication to the understanding of the topology of Riemannian manifolds; 3) the theory of moduli space of instantons as a tool for studying the geometry of lowdimensional manifolds. CONTENTS: J. Cheeger: Critical Points of Distance Functions and Applications to Geometry. M. Gromov, P. Pansu, Rigidity of Lattices: An Introduction. Chr. Okonek: Instanton Invariants and Algebraic Surfaces
Metric and comparison geometry
(
Book
)
6 editions published in 2007 in English and held by 142 WorldCat member libraries worldwide
6 editions published in 2007 in English and held by 142 WorldCat member libraries worldwide
Geometric topology : recent developments : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 412, 1990
(
Book
)
5 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
5 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
Degeneration of Riemannian metrics under Ricci curvature bounds
by
Jeff Cheeger(
Book
)
3 editions published in 2001 in English and held by 16 WorldCat member libraries worldwide
3 editions published in 2001 in English and held by 16 WorldCat member libraries worldwide
Geometric topology: recent developments : held at Montecatini Terme, Italy, June 412, 1990
(
Book
)
1 edition published in 1991 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 14 WorldCat member libraries worldwide
Surveys in differential geometry : metric and comparison geometry
(
Book
)
4 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
4 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
Metric and differential geometry the Jeff Cheeger anniversary volume
by
Xianzhe Dai(
Book
)
3 editions published in 2012 in English and held by 8 WorldCat member libraries worldwide
Annotation
3 editions published in 2012 in English and held by 8 WorldCat member libraries worldwide
Annotation
Transgressed Euler classes of SL(2n, Z) vector bundles, adiabatic limits of eta invariants and special values of Lfunctions
by
JeanMichel Bismut(
Book
)
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Surveys in differential geometry
(
Book
)
2 editions published in 2007 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2007 in English and held by 3 WorldCat member libraries worldwide
Soft and hard symplectic geometry
by
Mikhael Gromov(
Visual
)
1 edition published in 1986 in English and held by 3 WorldCat member libraries worldwide
A videotaped lecture by Mikhael Gromov on soft and hard symplectic geometry
1 edition published in 1986 in English and held by 3 WorldCat member libraries worldwide
A videotaped lecture by Mikhael Gromov on soft and hard symplectic geometry
[Êta]invariants and their adiabatic limits
by
JeanMichel Bismut(
Book
)
1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide
Infinitesimal isometries and pomtryagin numbers
by
Paul Frank Baum(
Book
)
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
Geometric topology : recent developments ; lectures
(
Book
)
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
Comparison and finiteness theorems for Riemannian manifolds
by
Jeff Cheeger(
)
3 editions published between 1967 and 1985 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1967 and 1985 in English and held by 3 WorldCat member libraries worldwide
Collapsing Riemannian manifolds while keeping their curvature bounded
by
Jeff Cheeger(
Book
)
2 editions published in 1985 in Undetermined and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1985 in Undetermined and English and held by 3 WorldCat member libraries worldwide
Geometric topology : recent developments : lectures given on the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy ... 1990
(
)
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
Universal symplectic forms in the soliton theory
by Fedor Soloviev(
Book
)
2 editions published in 2010 in English and held by 2 WorldCat member libraries worldwide
Using KricheverPhong's universal formula, we show that a multiplicative representation linearizes Sklyanian quadratic brackets for a multipole Lax function with a spectral parameter. The spectral parameter can be either rational or elliptic. As a byproduct, we obtain an extension of a Sklyanin algebra in the elliptic case. We discuss applications of these results to isospectral and isomonodromic equations with discrete time. KricheverPhong's formula provides a hierarchy of symplectic structures, and we show that there exists a nontrivial cubic bracket in Sklyanin's case. Also, we consider a generalization of the universal formula to variable base curves (suggested in [22]) in the simplest possible case of a rational base curve with moving marked points
2 editions published in 2010 in English and held by 2 WorldCat member libraries worldwide
Using KricheverPhong's universal formula, we show that a multiplicative representation linearizes Sklyanian quadratic brackets for a multipole Lax function with a spectral parameter. The spectral parameter can be either rational or elliptic. As a byproduct, we obtain an extension of a Sklyanin algebra in the elliptic case. We discuss applications of these results to isospectral and isomonodromic equations with discrete time. KricheverPhong's formula provides a hierarchy of symplectic structures, and we show that there exists a nontrivial cubic bracket in Sklyanin's case. Also, we consider a generalization of the universal formula to variable base curves (suggested in [22]) in the simplest possible case of a rational base curve with moving marked points
Two constructions of complete minimal surfaces
by Darren Lee(
Book
)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
This thesis consists of two constructions of complete minimal surfaces as limits of compact minimal surfaces
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
This thesis consists of two constructions of complete minimal surfaces as limits of compact minimal surfaces
Surveys in differential geometry
(
Book
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Ebin, D. G.
 Tricerri, F. (Franco) 1947 Editor
 De Bartolomeis, P. (Paolo) Editor
 Centro internazionale matematico estivo Other
 Grove, Karsten Editor
 American Mathematical Society
 Dai, Xianzhe Contributor
 Rong, Xiaochun Contributor
 Gromov, Mikhail Author
 Okonek, Christian
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Associated Subjects
Canada Cell aggregationMathematics Differential topology Distance geometry Generalized spaces Geometry Geometry, Differential Geometry, Riemannian Global differential geometry Index theory (Mathematics) Ktheory Lie groups Markov processes Mathematicians Mathematics Riemannian manifolds Scientists Stochastic processes Symplectic manifolds United States