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Differential Geometry and Mathematical Physics

Lectures given at the Meetings of the Belgian Contact Group on Differential Geometry held at Liège, May 2–3, 1980 and at Leuven, February 6–8, 1981

  • Book
  • © 1983

Overview

Editors:
  1. M. Cahen

    1. Université Libre de Bruxelles, Belgium

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  2. M. Wilde

    1. Université de Liège, Belgium

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  3. L. Lemaire

    1. Université Libre de Bruxelles, Belgium

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  4. L. Vanhecke

    1. Katholieke Universiteit Leuven, Belgium

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Part of the book series: Mathematical Physics Studies (MPST, volume 3)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-vii
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  2. Lectures given at the Meeting of the Belgian Contact Group on Differential Geometry held at Liège, May 2–3, 1980

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Simultaneous Deformations of a Lie Algebra and its Modules

      • D. Arnal
      Pages 3-15

    3. How to Connect Exponential Integrals to Optimal Process ?

      • E. Combet
      Pages 17-25

    4. Invariance of Maxwell’s Equations

      • S. Gutt
      Pages 27-29

    5. On the Classification of Manifolds Foliated by the Action of a Nilpotent Lie Group

      • G. Hector
      Pages 31-35

    6. Heat, Cold and Geometry

      • P. Iglesias, J. M. Souriau
      Pages 37-68

    7. Deformations of Algebras Associated with a Symplectic Manifold

      • A. Lichnerowicz
      Pages 69-83

    8. Differential Deformations with Constant Coefficients

      • G. Patissier
      Pages 85-94

  3. Lectures given at the Meeting of the Belgian Contact Group on Differential Geometry held at Leuven, February 6–8, 1981

    1. Front Matter

      Pages 95-95
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    2. Some Aspects of Theoretical Physics Relating to Harmonic Maps

      • P. Baird
      Pages 97-104

    3. Stability and Self-Duality of Yang-Mills Fields

      • J.-P. Bourguignon
      Pages 105-106

    4. Embedded 2-Spheres in ℝ3

      • H. Chaltin
      Pages 107-130

    5. Local Chevalley Cohomologies of the Dynamical Lie Algebra of a Symplectic Manifold

      • M. De Wilde
      Pages 131-136

    6. The Spin Polarizer

      • C. Duval
      Pages 137-147

    7. Variational Theory in Fibre Bundles: Examples

      • J. Eells
      Pages 149-158

    8. Curvatures of Tubes about Submanifolds

      • L. Gheysens
      Pages 159-166

    9. Almost Symmetric Spaces

      • E. A. Ruh
      Pages 167-172

    10. Minimal Surfaces and Weyl Groups

      • B. Smyth
      Pages 173-175

    11. Some Aspects of Harmonic Maps from a Surface to Complex Projective Space

      • J. C. Wood
      Pages 177-186
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Keywords

About this book

This volume contains the text of the lectures which were given at the Differential Geometry Meeting held at Liege in 1980 and at the Differential Geometry Meeting held at Leuven in 1981. The first of these meetings was more orientated toward mathematical physics; the second has a stronger flavour of analysis. The Editors are pleased to thank the lectures who contributed scientifically to these two meetings. They are also grateful to Professor M. F1ato who has encouraged publication of these contributions in the Mathematical Physics Studies Series. We also thank the F.N.R.S. who supported financially the Contact group in differential geometry. The Universite de Liege and the Katholieke Universiteit Leuven which have given us a warm hospitality have contributed to the success of these meetings. We express our gratitude. The Editors. M. Caken et al. (6ds.), Differential Geametry and Mathematical Physics, vii. vii Copyright e 1983 by D. Reidel Publishing Company. Lectures given at the Meeting of the Belgian Contact Group on Differential Geometry held at Liege, May 2-3,1980 SIMULTANEOUS DEFORMATIONS OF A LIE ALGEBRA AND ITS MODULES D. Arnal University of Dijon INTRODUCTION We expose here some results which are obtained by a team at the University of Dijon. This team included Jean-Claude Cortet, Georges Pinczon and myself.

Editors and Affiliations

  • Université Libre de Bruxelles, Belgium

    M. Cahen, L. Lemaire

  • Université de Liège, Belgium

    M. Wilde

  • Katholieke Universiteit Leuven, Belgium

    L. Vanhecke

Bibliographic Information

  • Book Title: Differential Geometry and Mathematical Physics

  • Book Subtitle: Lectures given at the Meetings of the Belgian Contact Group on Differential Geometry held at Liège, May 2–3, 1980 and at Leuven, February 6–8, 1981

  • Editors: M. Cahen, M. Wilde, L. Lemaire, L. Vanhecke

  • Series Title: Mathematical Physics Studies

  • DOI: https://doi.org/10.1007/978-94-009-7022-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1983

  • Softcover ISBN: 978-90-277-1508-1Published: 30 November 1982

  • eBook ISBN: 978-94-009-7022-9Published: 06 December 2012

  • Series ISSN: 0921-3767

  • Series E-ISSN: 2352-3905

  • Edition Number: 1

  • Number of Pages: VII, 188

  • Topics: Mathematical and Computational Engineering, Theoretical, Mathematical and Computational Physics, Differential Geometry

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