WorldCat Identities

Cheeger, Jeff

Overview
Works: 36 works in 114 publications in 4 languages and 1,439 library holdings
Genres: Filmed lectures  Nonfiction films  Academic theses  Conference papers and proceedings 
Roles: Author, Editor, Honoree, Contributor, Dedicatee, Other
Publication Timeline
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Most widely held works by Jeff Cheeger
Comparison theorems in riemannian geometry by Jeff Cheeger( Book )

29 editions published between 1975 and 2008 in 4 languages and held by 483 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, June 4-12, 1990 by Jeff Cheeger( Book )

20 editions published between 1990 and 1991 in English and Undetermined and held by 303 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 semi-simple 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 low-dimensional 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 )

5 editions published in 2007 in English and held by 145 WorldCat member libraries worldwide

Degeneration of Riemannian metrics under Ricci curvature bounds by Jeff Cheeger( Book )

6 editions published in 2001 in English and Swedish and held by 29 WorldCat member libraries worldwide

Metric and differential geometry : the Jeff Cheeger anniversary volume by Xianzhe Dai( Book )

7 editions published in 2012 in English and held by 19 WorldCat member libraries worldwide

Annotation. This volume covers a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments
Surveys in differential geometry : metric and comparison geometry( Book )

9 editions published in 2007 in English and held by 18 WorldCat member libraries worldwide

Geometric topology recent developments ; lectures by Centro internazionale matematico estivo( Book )

2 editions published between 1990 and 1991 in English and held by 14 WorldCat member libraries worldwide

Comparison theorems in Riemannian geometry by Jeff Cheeger( Book )

1 edition published in 1975 in English and held by 12 WorldCat member libraries worldwide

Transgressed Euler classes of SL(2n, Z) vector bundles, adiabatic limits of eta invariants and special values of L-functions by Jean-Michel Bismut( Book )

2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide

Universal symplectic forms in the soliton theory by Fedor Soloviev( )

1 edition published in 2010 in English and held by 4 WorldCat member libraries worldwide

Using Krichever-Phong's universal formula, we show that a multiplicative representation linearizes Sklyanian quadratic brackets for a multi-pole Lax function with a spectral parameter. The spectral parameter can be either rational or elliptic. As a by-product, 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. Krichever-Phong's formula provides a hierarchy of symplectic structures, and we show that there exists a non-trivial 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
[Êta]-invariants and their adiabatic limits by Jean-Michel Bismut( Book )

2 editions published in 1988 in English and held by 4 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
Continuity of some analytic objects under measured Gromov-Hausdorff convergence by Yu Ding( )

1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide

By employing similar ideas, as well as a so-called three annulus argument, we prove an intrinsic generalization of Almgren's "monotonicity of the frequency" for harmonic functions. Using this, we show that if the Ricci curvature of a Riemannian manifold Mn is almost nonnegative, and a geodesic ball BL(n)(p) & sub; Mn has almost maximal volume, then there is a harmonic coordinate system on B1(p) where L(n) depends only on n
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

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

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

Comparison Theorems in Riemannian Geometry by Jeff Cheeger( )

1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide

The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem-the first such treatment in a book in English. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. A quick chapter of Morse theory is followed by one on the injectivity radius. Chapters 6-9 deal with many of the most re
 
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Audience level: 0.70 (from 0.52 for Metric and ... to 0.99 for Cheeger, J ...)

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 4-12, 1990Geometric topology recent developments ; lecturesGeometric 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
Alternative Names
Cheeger, J.

Cheeger, J. 1943-

Cheeger, J. (Jeff)

Cheeger, Jeffrey.

Cheeger, Jeffrey 1943-

Jeff Cheeger Amerikaans wiskundige

Jeff Cheeger amerikansk matematikar

Jeff Cheeger amerikansk matematiker

Jeff Cheeger matemático estadounidense

Jeff Cheeger matematico statunitense

Jeff Cheeger Mathématicien américain

Jeff Cheeger US-amerikanischer Mathematiker

Jeff Cheeger usona matematikisto

제프 치거

ジェフ・チーガー

Languages
Covers
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 4-12, 1990Metric and comparison geometrySurveys in differential geometry : metric and comparison geometryGeometric topology recent developments ; lecturesGeometric topology : recent developments : lectures given on the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy ... 1990Comparison Theorems in Riemannian Geometry