04305nam 2200625 450 99646664140331620220908081701.03-540-38405-710.1007/BFb0089722(CKB)1000000000437967(SSID)ssj0000322594(PQKBManifestationID)12131462(PQKBTitleCode)TC0000322594(PQKBWorkID)10286939(PQKB)10040314(DE-He213)978-3-540-38405-2(MiAaPQ)EBC5585104(Au-PeEL)EBL5585104(OCoLC)1066176833(MiAaPQ)EBC6842329(Au-PeEL)EBL6842329(OCoLC)1292364999(PPN)155178369(EXLCZ)99100000000043796720220908d1980 uy 0engurnn|008mamaatxtccrDifferential 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. Souriau1st ed. 1980.Berlin ;Heidelberg :Springer-Verlag,[1980]©19801 online resource (XIV, 542 p.)Lecture Notes in Mathematics ;Volume 836Bibliographic Level Mode of Issuance: Monograph3-540-10275-2 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.Lecture notes in mathematics (Springer-Verlag) ;Volume 836.Geometry, DifferentialCongressesMathematical physicsCongressesGeometry, DifferentialMathematical physics516.36García Pérez Pedro LuisPérez-Rendón A.1936-Souriau J.-M(Jean-Marie),1922-2012,MiAaPQMiAaPQMiAaPQBOOK996466641403316Differential geometrical methods in mathematical physics262460UNISA