Physics on Manifolds: Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
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| Schriftenreihe: | Mathematical Physics Studies
15 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVII, 366 p) |
| ISBN: | 9789401119382 9789401048576 |
| DOI: | 10.1007/978-94-011-1938-2 |
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| discipline | Mathematik |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401119382 9789401048576 |
| language | English |
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| spelling | Flato, M. Verfasser aut Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 edited by M. Flato, R. Kerner, A. Lichnerowicz Dordrecht Springer Netherlands 1994 1 Online-Ressource (XVII, 366 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Physics Studies 15 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 Mathematics Functional analysis Global analysis Physics Applications of Mathematics Physics, general Theoretical, Mathematical and Computational Physics Functional Analysis Global Analysis and Analysis on Manifolds Mathematik Kerner, R. Sonstige oth Lichnerowicz, A. Sonstige oth https://doi.org/10.1007/978-94-011-1938-2 Verlag Volltext |
| spellingShingle | Flato, M. Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 Mathematics Functional analysis Global analysis Physics Applications of Mathematics Physics, general Theoretical, Mathematical and Computational Physics Functional Analysis Global Analysis and Analysis on Manifolds Mathematik |
| title | Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 |
| title_auth | Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 |
| title_exact_search | Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 |
| title_full | Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 edited by M. Flato, R. Kerner, A. Lichnerowicz |
| title_fullStr | Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 edited by M. Flato, R. Kerner, A. Lichnerowicz |
| title_full_unstemmed | Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 edited by M. Flato, R. Kerner, A. Lichnerowicz |
| title_short | Physics on Manifolds |
| title_sort | physics on manifolds proceedings of the international colloquium in honour of yvonne choquet bruhat paris june 3 5 1992 |
| title_sub | Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992 |
| topic | Mathematics Functional analysis Global analysis Physics Applications of Mathematics Physics, general Theoretical, Mathematical and Computational Physics Functional Analysis Global Analysis and Analysis on Manifolds Mathematik |
| topic_facet | Mathematics Functional analysis Global analysis Physics Applications of Mathematics Physics, general Theoretical, Mathematical and Computational Physics Functional Analysis Global Analysis and Analysis on Manifolds Mathematik |
| url | https://doi.org/10.1007/978-94-011-1938-2 |
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