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

edited by P.L. García, A. Pérez-Rendón, and J.M. Souriau

[目次]

  • 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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この本の情報

書名 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
著作者等 Centre national de la recherche scientifique
García Pérez, Pedro Luis
Pérez-Rendón, A.
Souriau, J.-M.
Universidad de Salamanca. Facultad de Ciencias
Perez-Rendon A.
Souriau Jean-Marie
Garcia P. L.
書名別名 Differential geometrical methods in mathematical physics
シリーズ名 Lecture notes in mathematics
出版元 Springer-Verlag
刊行年月 1980
ページ数 xii, 538 p.
大きさ 25 cm
ISBN 0387102752
3540102752
NCID BA03431705
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言語 英語
出版国 ドイツ
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