LEADER 04305nam 2200625 450 001 996466641403316 005 20220908081701.0 010 $a3-540-38405-7 024 7 $a10.1007/BFb0089722 035 $a(CKB)1000000000437967 035 $a(SSID)ssj0000322594 035 $a(PQKBManifestationID)12131462 035 $a(PQKBTitleCode)TC0000322594 035 $a(PQKBWorkID)10286939 035 $a(PQKB)10040314 035 $a(DE-He213)978-3-540-38405-2 035 $a(MiAaPQ)EBC5585104 035 $a(Au-PeEL)EBL5585104 035 $a(OCoLC)1066176833 035 $a(MiAaPQ)EBC6842329 035 $a(Au-PeEL)EBL6842329 035 $a(OCoLC)1292364999 035 $a(PPN)155178369 035 $a(EXLCZ)991000000000437967 100 $a20220908d1980 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aDifferential geometrical methods in mathematical physics $eproceedings of the conference held at Aix-En-Provence, September 3-7, 1979 and Salamanca, September 10-14 1979 /$fedited by P. L. Garcia, A. Perez-Rendon, J. M. Souriau 205 $a1st ed. 1980. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1980] 210 4$d©1980 215 $a1 online resource (XIV, 542 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 836 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-10275-2 327 $aConfiguration 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. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 836. 606 $aGeometry, Differential$vCongresses 606 $aMathematical physics$vCongresses 615 0$aGeometry, Differential 615 0$aMathematical physics 676 $a516.36 702 $aGarci?a Pe?rez$b Pedro Luis 702 $aPe?rez-Rendo?n$b A.$f1936- 702 $aSouriau$b J.-M$g(Jean-Marie),$f1922-2012, 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466641403316 996 $aDifferential geometrical methods in mathematical physics$9262460 997 $aUNISA