Differential Geometrical Methods in Mathematical Physics : Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975

Edited By K. Bleuler And A. Reetz. Includes Bibliographies. An outline of geometric quantisation (d'après Kostant)....Pages 1-10 The metalinear geometry of non-real polarizations....Pages 11-45 On cohomology groups appearing in geometric quantization....Pages 46-66 Geometric quantization and Feynman path integrals for spin....Pages 67-71 V. Fock, 40 years later....Pages 72-75 Interpretation geometrique des etats quantiques....Pages 76-96 Geometric structure of quantization....Pages 97-108 The application of graded Lie algebras to invariance considerations in particle physics....Pages 109-144 Some recent results on supersymmetry....Pages 145-176 Graded manifolds, graded Lie theory, and prequantization....Pages 177-306 Gauge fields as quantized connection forms....Pages 307-349 Complex line bundles and the magnetic field of a monopole....Pages 350-354 Conclusions from an extended gauge principle of Dirac's equation....Pages 355-364 Reducibility of the symplectic structure of classical fields with gauge-symmetry....Pages 365-376 New geometrical dynamics....Pages 377-394 On the generalization of symplectic geometry to multiple integrals in the Calculus of Variations....Pages 395-456 A symplectic formulation of particle dynamics....Pages 457-463 A symplectic formulation of field dynamics....Pages 464-468 Canonical transformations and their representations in quantum mechanics....Pages 469-481 On a symplectic structure of general relativity....Pages 482-497 On the symplectic formulation of the einstein system of evolution in presence of a self-gravitating scalar field....Pages 498-517 Invertible foliations and type D-spaces....Pages 518-525 Deformations of the embedded Einstein spaces....Pages 526-538 The causal structure of singularities....Pages 539-565 Towards quantum gravity....Pages 566-572 Remarks about Dirac's idea of cosmological variation of so called ‘constants of nature’....Pages 573-576 Edited By Konrad Bleuler, Axel Reetz.