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Differential Geometry and Relativity

A Volume in Honour of André Lichnerowicz on His 60th Birthday

  • Book
  • © 1976

Overview

Editors:
  1. M. Cahen
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  2. M. Flato
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Part of the book series: Mathematical Physics and Applied Mathematics (MPAM, volume 3)

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Table of contents (24 chapters)

  1. Front Matter

    Pages I-XI
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  2. Thirty Years of Activity in the Renovation of Mathematical Education

    1. Thirty Years of Activity in the Renovation of Mathematical Education

      • R. Couty, A. Revuz
      Pages 1-2

  3. Differential Geometry

    1. Front Matter

      Pages 3-3
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    2. The Scalar Curvature

      • T. Aubin
      Pages 5-18

    3. On Automorphisms of Spaces of Nonpositive Curvature with Finite Volume

      • Geneviève Avérous, Shoshichi Kobayashi
      Pages 19-26

    4. Harmonic Functions on Groups

      • A. Avez
      Pages 27-32

    5. Some Relations between Volume, Injectivity Radius, and Convexity Radius in Riemannian Manifolds

      • M. Berger
      Pages 33-42

    6. Heat Equation, Proportionality Principle, and Volume of Fundamental Domains

      • Robert S. Cahn, Peter B. Gilkey, Joseph A. Wolf
      Pages 43-54

    7. Some Remarks on the Fundamental Kernels of a Pseudo-Riemannian Manifold

      • E. Combet, C. Moreno
      Pages 55-62

    8. Geodesic Balls in Riemannian Product Manifolds

      • Alfred Gray
      Pages 63-66

    9. Twisted Exotism

      • S. Halperin, D. Lehmann
      Pages 67-73

    10. On Lie Transformation Groups and the Covariance of Differential Operators

      • Yvette Kosmann
      Pages 75-89

    11. Geometrical Interpretations of Scalar Curvature and Regularity of Conformal Homeomorphisms

      • Jacqueline Lelong-Ferrand
      Pages 91-105

    12. Pfaffian Systems and Transverse Differential Geometry

      • Paulette Libermann
      Pages 107-126

    13. The Curvature Class of an Almost-Complex Manifold

      • Pierre Molino
      Pages 127-134

    14. Pseudogroups and Linear Connections on a Banach Fibre Bundle

      • Pham Mau Quan
      Pages 135-145

    15. Mobility in Categories and Metric Spaces

      • S. A. Robertson
      Pages 147-158

    16. The Tension Field of Maps of Riemannian Manifolds

      • T. J. Willmore
      Pages 159-167

  4. Mathematical Physics

    1. Front Matter

      Pages 169-169
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    2. Conformal Invariance in Physics

      • F. Bayen
      Pages 171-195
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Keywords

About this book

On the occasion of the sixtieth birthday of Andre Lichnerowicz a number of his friends, many of whom have been his students or coworkers, decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work, namely differential geometry and mathematical physics. Limitations of space and time did not enable us to include papers from all Lichnerowicz's friends nor from all his former students. It was equally impossible to reflect in a single book the great variety of subjects tackled by Lichnerowicz. In spite of these limitations, we hope that this book reflects some of the present trends of fields in which he worked, and some of the subjects to which he contributed in his long - and not yet finished - career. This career was very much marked by the influence of his masters, Elie Cartan who introduced him to research in mathematics, mainly in geometry and its relations with mathematical physics, and Georges Darmois who developed his interest for mechanics and physics, especially the theory of relativity and electromagnetism. This par­ ticular combination, and his personal talent, made of him a natural scientific heir and continuator of the French mathematical physics school in the tradition of Henri Poincare. Some of his works would even be best qualified by a new field name, that of physical ma­ thematics: branches of pure mathematics entirely motivated by physics.

Bibliographic Information

  • Book Title: Differential Geometry and Relativity

  • Book Subtitle: A Volume in Honour of André Lichnerowicz on His 60th Birthday

  • Editors: M. Cahen, M. Flato

  • Series Title: Mathematical Physics and Applied Mathematics

  • DOI: https://doi.org/10.1007/978-94-010-1508-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1976

  • Hardcover ISBN: 978-90-277-0745-1Published: 31 December 1976

  • Softcover ISBN: 978-94-010-1510-3Published: 15 October 2011

  • eBook ISBN: 978-94-010-1508-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 320

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

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