Electronic ISBN:  9780821893296 
Product Code:  PSPUM/39.1.E 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 39; 1983; 435 ppMSC: Primary 00; Secondary 01;
On April 710, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg.
If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated.
This part contains sections on geometry, topology, Riemann surfaces, discontinuous groups and Lie groups, and several complex variables.This item is also available as part of a set: 
Table of Contents

Geometry

ShingShen Chern  Web geometry

JunIchi Igusa  Problems on Abelian functions at the time of Poincaré and some at present

John Milnor  Hyperbolic geometry: The first 150 years

Ngaiming Mok and ShingTung Yau  Completeness of the KählerEinstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions [ MR 720056 ]

Alan Weinstein  Symplectic geometry

Topology

J. Frank Adams  Graem Segal’s Burnside ring conjecture

William P. Thurston  Three dimensional manifolds, Kleinian groups and hyperbolic geometry

Riemann surfaces, discontinuous groups and Lie groups

Lipman Bers  Finite dimenstional Teichmüller spaces and generalizations

Wilfried Schmid  Poincaré and Lie groups

Dennis Sullivan  Discrete conformal groups and measurable dynamics

Several complex variables

Michael Beals, Charles Fefferman and Robert Grossman  Strictly pseudoconvex domains in $\mathbf {C}^n$

Phillip A. Griffiths  Poincaré and algebraic geometry

Roger Penrose  Physical spacetime and nonrealizable CRstructures

R. O. Wells, Jr.  The CauchyRiemann equations and differential geometry


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On April 710, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg.
If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated.
This part contains sections on geometry, topology, Riemann surfaces, discontinuous groups and Lie groups, and several complex variables.

Geometry

ShingShen Chern  Web geometry

JunIchi Igusa  Problems on Abelian functions at the time of Poincaré and some at present

John Milnor  Hyperbolic geometry: The first 150 years

Ngaiming Mok and ShingTung Yau  Completeness of the KählerEinstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions [ MR 720056 ]

Alan Weinstein  Symplectic geometry

Topology

J. Frank Adams  Graem Segal’s Burnside ring conjecture

William P. Thurston  Three dimensional manifolds, Kleinian groups and hyperbolic geometry

Riemann surfaces, discontinuous groups and Lie groups

Lipman Bers  Finite dimenstional Teichmüller spaces and generalizations

Wilfried Schmid  Poincaré and Lie groups

Dennis Sullivan  Discrete conformal groups and measurable dynamics

Several complex variables

Michael Beals, Charles Fefferman and Robert Grossman  Strictly pseudoconvex domains in $\mathbf {C}^n$

Phillip A. Griffiths  Poincaré and algebraic geometry

Roger Penrose  Physical spacetime and nonrealizable CRstructures

R. O. Wells, Jr.  The CauchyRiemann equations and differential geometry