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Mathematical Physics Studies

Physics on Manifolds

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

Editors: Flato, M., Kerner, R., Lichnerowicz, A. (Eds.)

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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.

Table of contents (30 chapters)

Table of contents (30 chapters)
  • Relativistic Dissipative Fluids

    Pages 1-10

    Anile, A. M. (et al.)

  • Mathematical Problems Related to Liquid Crystals, Superconductors and Superfluids

    Pages 11-21

    Brezis, Haïm

  • Microcanonical Action and the Entropy of a Rotating Black Hole

    Pages 23-34

    Brown, J. David (et al.)

  • Problème De Cauchy Sur Un Cônoïde Caractéristique. Applications à Certains Systèmes Non Linéaires D’origine Physique

    Pages 35-47

    Cagnac, Francis (et al.)

  • Recent Progress on the Cauchy Problem in General Relativity

    Pages 49-58

    Christodoulou, Demetrios

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-94-011-1938-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Physics on Manifolds
Book Subtitle
Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992
Editors
  • M. Flato
  • R. Kerner
  • A. Lichnerowicz
Series Title
Mathematical Physics Studies
Series Volume
15
Copyright
1994
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-1938-2
DOI
10.1007/978-94-011-1938-2
Softcover ISBN
978-94-010-4857-6
Series ISSN
0921-3767
Edition Number
1
Number of Pages
XVII, 366
Topics