Physics on Manifolds

Table Des Matieres.- Relativistic dissipative fluids1.- Mathematical problems related to liquid crystalssuperconductors andsuperfluide 11.- Microcanonical action and the entropy of a rotating black hole23.- Problèmede Cauchy sur un cônoïde caractéristique. Applications à certains systèmes non linéaires d'origine physique35.- Recent progress on the Cauchy problem in general relativity49.- On some links between mathematical physics and physics in the context ofgeneral relativity59.- Functionalintegration.Amultipurpose tool67.- Generalized frames of references and intrinsic Cauchy problem in general relativity93.- Reducing Einstein's equations to an unconstrainedHamiltonian system on the cotangent bundle of Teichmüller space111.- Darboux transformations for a class of integrable systems innvariables153.- Group theoretical treatment offundamental solutions161.- On the regularity properties of the wave equation177.- Le problème de Cauchy linéaire et analytique pour un opérateur holomorphe et unsecond membre ramifié[Résumé] 193.- On Boltzmann equation195.- Star products and quantum groups203.- On asymptotic of solutions of a nonlinear elliptic equationin a cylindrical doma.i:r235.- Fundamental physics in universal space-time253.- Interaction of gravitational and electromagnetic waves in general relativity265.- Anti-self dual conformal structures on 4-manifolds[Résumé] 289.- Chaotic behavior in relativistic motion291.- Some results on non constant mean curvature solutions ofthe Einstein constraint equations295.- Levi condition for general systems.- Conditionsinvariantespour un systèmedu type conditions de Levi 309.- Black holes in supergravity.- Low-dimensional behaviour in the rotating driven cavity problem.- Some geometrical aspects of inhomogeneouselasticity.- Integrating the Kadomtsev-Petviashvili equation in the 1+3 dimensions via the generalised Monge-Ampère equation: an example of conditionedPainlevé test337.- Spinning mass endowed with electric charge andmagnetic