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  • Conference proceedings
  • © 1994

Physics on Manifolds

Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992

Editors:

  1. M. Flato

    1. Physique Mathématique, Université de Bourgogne, Dijon, France

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  2. R. Kerner

    1. Laboratoire de Gravitation et Cosmologie Relativistes, UPMC, Paris, France

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  3. A. Lichnerowicz

    1. Collège de France, Paris, France

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Part of the book series: Mathematical Physics Studies (MPST, volume 15)

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Table of contents (30 papers)

  1. Front Matter

    Pages i-xvii
    PDF

  2. Conférences pleénières

    1. Relativistic Dissipative Fluids

      • A. M. Anile, G. Alí, V. Romano
      Pages 1-10

    3. Microcanonical Action and the Entropy of a Rotating Black Hole

      • J. David Brown, James W. York Jr.
      Pages 23-34

    7. Functional Integration a Multipurpose Tool

      • Cécile DeWitt-Morette
      Pages 67-91

    12. On the Regularity Properties of the Wave Equation

      • S. Klainerman, M. Machedon
      Pages 177-191

    14. On Boltzmann Equation

      • P. L. Lions
      Pages 195-201

    15. Star Products and Quantum Groups

      • Carlos Moreno, Luis Valero
      Pages 203-234

    17. Fundamental Physics in Universal Space-Time

      • Irving Segal
      Pages 253-264
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About this book

This volume contains the proceedings of the Colloquium "Analysis, Manifolds and Physics" organized in honour of Yvonne Choquet-Bruhat by her friends, collaborators and former students, on June 3, 4 and 5, 1992 in Paris. Its title accurately reflects the domains to which Yvonne Choquet-Bruhat has made essential contributions. Since the rise of General Relativity, the geometry of Manifolds has become a non-trivial part of space-time physics. At the same time, Functional Analysis has been of enormous importance in Quantum Mechanics, and Quantum Field Theory. Its role becomes decisive when one considers the global behaviour of solutions of differential systems on manifolds. In this sense, General Relativity is an exceptional theory in which the solutions of a highly non-linear system of partial differential equations define by themselves the very manifold on which they are supposed to exist. This is why a solution of Einstein's equations cannot be physically interpreted before its global behaviour is known, taking into account the entire hypothetical underlying manifold. In her youth, Yvonne Choquet-Bruhat contributed in a spectacular way to this domain stretching between physics and mathematics, when she gave the proof of the existence of solutions to Einstein's equations on differential manifolds of a quite general type. The methods she created have been worked out by the French school of mathematics, principally by Jean Leray. Her first proof of the local existence and uniqueness of solutions of Einstein's equations inspired Jean Leray's theory of general hyperbolic systems.
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Keywords

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Editors and Affiliations

  • Physique Mathématique, Université de Bourgogne, Dijon, France

    M. Flato

  • Laboratoire de Gravitation et Cosmologie Relativistes, UPMC, Paris, France

    R. Kerner

  • Collège de France, Paris, France

    A. Lichnerowicz

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Bibliographic Information

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Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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