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

Editors:

ISBN: 978-3-540-10275-5 (Print) 978-3-540-38405-2 (Online)

Table of contents (41 chapters)

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    Book Chapter

    Pages 1-8

    Configuration spaces of identical particles

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    Book Chapter

    Pages 9-21

    The geometrical meaning and globalization of the Hamilton-Jacobi method

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    Pages 22-48

    The Euler-Lagrange resolution

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    Pages 49-66

    On the prequantum description of spinning particles in an external gauge field

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    Pages 67-90

    Classical action, the wu-yang phase factor and prequantization

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    Pages 91-128

    Groupes differentiels

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    Pages 129-144

    Representations that remain irreducible on parabolic subgroups

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    Pages 145-152

    Non-positive polarizations and half-forms

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    Pages 153-166

    Connections on symplectic manifolds and geometric quantization

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    Pages 167-170

    Geometric aspects of the feynman integral

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    Pages 171-176

    Relativistic quantum theory in complex spacetime

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    Pages 177-185

    Existence et equivalence de deformations associatives associees a une variete symplectique

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    Pages 186-201

    A new symplectic structure of field theory

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    Pages 202-210

    Conformal structures and connections

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    Pages 211-220

    Equilibrium configurations of fluids in general relativity

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    Pages 221-245

    Quaternionic and supersymmetric σ — models

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    Pages 246-255

    Supergravity as the gauge theory of supersymmetry

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    Pages 256-262

    Hypergravities

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    Book Chapter

    Pages 265-265

    Preface

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    Book Chapter

    Pages 266-268

    Preface

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