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

Author:   P. L. Garcia ,  A. Perez-Rendon ,  J. M. Souriau
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1980 ed.
Volume:   836
ISBN:  

9783540102755


Pages:   542
Publication Date:   01 December 1980
Format:   Paperback
Availability:   Out of stock   Availability explained
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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


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Author:   P. L. Garcia ,  A. Perez-Rendon ,  J. M. Souriau
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1980 ed.
Volume:   836
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   0.832kg
ISBN:  

9783540102755


ISBN 10:   3540102752
Pages:   542
Publication Date:   01 December 1980
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Language:   English & French

Table of Contents

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 poincare-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.

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