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Differential Geometrical Methods in Mathematical Physics: Proceedings of the Conferences Held at Aix-en-Provence, September 3 – 7, 1979 and Salamanca, September 10 – 14, 1979 /
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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Differential Geometrical Methods in Mathematical Physics ([EBook] :) : Proceedings of the Conferences Held at Aix-en-Provence, September 3 – 7, 1979 and Salamanca, September 10 – 14, 1979 / / edited by P. L. García, A. Pérez-Rendón, J. M. Souriau.
Added Personal Name
García, P. L.
editor.
Pérez-Rendón, A.
editor.
Souriau, J. M.
editor.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1980.
Physical Details
XIV, 542 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 836
ISBN
9783540384052
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0089722
Links to Related Works
Subject References:
Differential Geometry
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Mathematics
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Physics
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Theoretical, Mathematical and Computational Physics
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Authors:
García, P. L.
.
Pérez-Rendón, A.
.
Souriau, J. M.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
516.36
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