Differential geometrical methods in mathematical physics : proceedings of the conference held at Aix-En-Provence, September 3-7, 1979 and Salamanca, September 10-14 1979 / / edited by P. L. Garcia, A. Perez-Rendon, J. M. Souriau

• Pubblicazione: Berlin ; ; Heidelberg : , : Springer-Verlag, , [1980]; ©1980
• Edizione: 1st ed. 1980.
• Descrizione fisica: 1 online resource (XIV, 542 p.)
• Disciplina: 516.36
• Soggetto topico: Geometry, Differential; Mathematical physics
• Persona (resp. second.): García PérezPedro Luis; Pérez-RendónA. <1936->; SouriauJ.-M <1922-2012, > (Jean-Marie)
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Configuration spaces of identical particles -- The geometrical meaning and globalization of the Hamilton-Jacobi method -- The Euler-Lagrange resolution -- On the prequantum description of spinning particles in an external gauge field -- Classical action, the wu-yang phase factor and prequantization -- Groupes differentiels -- Representations that remain irreducible on parabolic subgroups -- Non-positive polarizations and half-forms -- Connections on symplectic manifolds and geometric quantization -- Geometric aspects of the feynman integral -- Relativistic quantum theory in complex spacetime -- Existence et equivalence de deformations associatives associees a une variete symplectique -- A new symplectic structure of field theory -- Conformal structures and connections -- Equilibrium configurations of fluids in general relativity -- Quaternionic and supersymmetric ? — models -- Supergravity as the gauge theory of supersymmetry -- Hypergravities -- Preface -- Preface -- Morse theory and the yang-mills equations -- Reduction of the yang mills equations -- Tangent structure of Yang-Mills equations and hodge theory -- Classification of gauge fields and group representations -- Gauge asthenodynamics (SU(2/1)) (classical discussion) -- Spinors on fibre bundles and their use in invariant models -- Glueing broken symmetries together -- Deformations and quantization -- Stability theory and quantization -- Presymplectic manifolds and the quantization of relativistic particle systems -- Geometric quantisation for singular lagrangians -- Electron scattering on magnetic monopoles -- The metaplectic representation, weyl operators and spectral theory -- Supergravity: A unique self-interacting theory -- General relativity as a gauge theory -- On a purely affine formulation of general relativity -- A fibre bundle description of coupled gravitational and gauge fields -- Homogenous symplectic formulation of field dynamics and the poincaré-cartan form -- Spectral sequences and the inverse problem of the calculus of variations -- Geodesic fields in the calculus of variations of multiple integrals depending on derivatives of higher order -- Separability structures on riemannian manifolds.
• Titolo autorizzato: Differential geometrical methods in mathematical physics
• ISBN: 3-540-38405-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466641403316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; Volume 836.