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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Dades bibliogràfiques
Autor corporatiu: Conference on differential geometrical methods in mathematical physics :Aix-en-Provence, Conference on differential geometrical methods in mathematical physics (Autor)
Altres autors: Pérez-Rendón, Antonio, 1936- (Director editorial), García Pérez, Pedro Luis, 1938- (Director editorial), Souriau, Jean-Marie, 1922-2012, mathématicien (Director editorial)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 836
Matèries:
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Nota: En anglais (avec 2 contributions en français)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• 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, 1980, Berlin, Springer-Verlag, 1 vol. (XII-538 p.), Lecture notes in mathematics, 0-387-10275-2
• Differential Geometrical Methods in Mathematical Physics, Texte imprimé, 9783662211038
Taula de continguts:
  • 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 bundledescription 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.