Differential Geometry

Differential Geometry

The Mathematical Works of J. H. C. Whitehead

1st Edition - January 1, 1962

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  • Editor: I. M. James
  • eBook ISBN: 9781483164731

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The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry contains all of Whitehead's published work on differential geometry, along with some papers on algebras. Most of these were written in the period 1929-1937, but a few later articles are included. The book begins with a list of Whitehead's works, in chronological order of writing as well as a biographical note by M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation by John Milnor. This is followed by separate chapters on topics such as linear connections; a method of obtaining normal representations for a projective connection; representation of projective spaces; convex regions in the geometry of paths; locally homogeneous spaces in differential geometry; and the decomposition of an infinitesimal group. Also included are chapters on locally homogeneous spaces in differential geometry; Maurer's equations; linear associative algebras; an expression of Hopf's invariant as an integral; and normalizators of transformation groups.

Table of Contents

  • Editorial Preface

    Publications of J. H. C. Whitehead

    A Biographical Note

    The Work of J. H. C. Whitehead

    A Theorem on Linear Connections

    On Linear Connections

    A Method of Obtaining Normal Representations for a Projective Connection

    On a Class of Projectively Flat Affine Connections

    The Representation of Projective Spaces

    A Set of Axioms for Differential Geometry

    The Foundations of Differential Geometry

    Affine Spaces of Paths Which are Symmetric about Each Point

    Convex Regions in the Geometry of Paths

    Convex Regions in the Geometry of Paths - Addendum

    The Weierstrass E-function in Differential Metric Geometry

    On the Covering of a Complete Space by the Geodesics through a Point

    Locally Homogeneous Spaces in Differential Geometry

    Note on Maurer's Equations

    On the Decomposition of an Infinitesimal Group

    Certain Equations in the Algebra of a Semi-simple Infinitesimal Group

    Note on Linear Associative Algebras

    An Expression of Hopf's Invariant as an Integral

    On Normalizators of Transformation Groups

    Elie Joseph Cartan, 1869-1951

    Contents of Volumes I to IV

Product details

  • No. of pages: 396
  • Language: English
  • Copyright: © Pergamon 1962
  • Published: January 1, 1962
  • Imprint: Pergamon
  • eBook ISBN: 9781483164731

About the Editor

I. M. James

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