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＜E-Book＞
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
(Lecture Notes in Mathematics. ISSN:16179692 ; 836)

Edition	1st ed. 1980.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1980
Size	XIV, 542 p : online resource
Authors	Garcia, P. L editor Perez-Rendon, A editor Souriau, J. M editor SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/BFb0089722

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