Physics on Manifolds : Proceedings of the International Colloquim in Honour of Yvonne Choquet-Bruhat, Paris, June 3-5, 1992

By: A. Lichnerowicz (Editor), R. Kerner (Editor), M. Flato (Editor)

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The role of the geometry of manifolds in space-time physics, and that of functional analysis in quantum mechanics and quantum field theory have become increasingly important. This is particularly true in the study of the global behaviour of solutions of differential systems on manifolds, and their implications to general relativity. Yvonne Choquet-Bruhat has contributed much to this exciting area of mathematical physics, and her work on the existence of solutions to Einstein's equations on differential manifolds of a general type has subsequently stimulated and inspired much important research. She has also played a pioneering role in the study of global problems, especially in gauge field theory and supergravity, and in the development of a theory of asymptotic gravitational and electromagnetic waves. The various contributions appearing in this volume, authored by eminent scientists, illustrate the latest developments in the many areas of contemporary physics which have greatly benefited from Choquet-Bruhat's work and influence. For mathematical physicists with an interest in relativity, quantum mechanics and field theory.

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Non-Fiction Science Physics Mathematical Physics Mathematics Geometry Differential & Riemannian Geometry Science in General Maths for Scientists Calculus & Mathematical Analysis Functional Analysis & Transforms Applied Mathematics

Avant-Propos
Foreword
Discours d'ouverture
Relativistic dissipative fluids	p. 1
Mathematical problems related to liquid crystals, superconductors and superfluids	p. 11
Microcanonical action and the entropy of a rotating black hole	p. 23
Probleme de Cauchy sur un conoide caracteristique. Applications a certains systemes non lineaires d'origine physique	p. 35
Recent progress on the Cauchy problem in general relativity	p. 49
On some links between mathematical physics and physics in the context of general relativity	p. 59
Functional integration. A multipurpose tool	p. 67
Generalized frames of references and intrinsic Cauchy problem in general relativity	p. 93
Reducing Einstein's equations to an unconstrained Hamiltonian system on the cotangent bundle of Teichmuller space	p. 111
Darboux transformations for a class of integrable systems in n variables	p. 153
Group theoretical treatment of fundamental solutions	p. 161
On the regularity properties of the wave equation	p. 177
Le probleme de Cauchy lineaire et analytique pour un operateur holomorphe et un second membre ramifie [Resume]	p. 193
On Boltzmann equation	p. 195
Star products and quantum groups	p. 203
On asymptotic of solutions of a nonlinear elliptic equation in a cylindrical domain	p. 235
Fundamental physics in universal space-time	p. 253
Interaction of gravitational and electromagnetic waves in general relativity	p. 265
Anti-self dual conformal structures on 4-manifolds [Resume]	p. 289
Chaotic behavior in relativistic motion	p. 291
Some results on non constant mean curvature solutions of the Einstein constraint equations	p. 295
Levi condition for general systems	p. 303
Conditions invariantes pour un systeme, du type conditions de Levi	p. 309
Black holes in supergravity	p. 315
Low-dimensional behaviour in the rotating driven cavity problem	p. 321
Some geometrical aspects of inhomogeneous elasticity	p. 331
Integrating the Kadomtsev-Petviashvili equation in the 1+3 dimensions via the generalised Monge-Ampere equation : an example of conditioned Painleve test	p. 337
Spinning mass endowed with electric charge and magnetic dipole moment	p. 347
Equations de Vlasov en theorie discrete	p. 353
Convexity and symmetrization in classical and relativistic balance laws systems	p. 357
Table of Contents provided by Blackwell. All Rights Reserved.

Physics on Manifolds : Proceedings of the International Colloquim in Honour of Yvonne Choquet-Bruhat, Paris, June 3-5, 1992

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