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.
Sprache
Verlagsort
ISBN-13
978-1-4831-6473-1 (9781483164731)
Schweitzer Klassifikation
Editorial PrefacePublications of J. H. C. WhiteheadA Biographical NoteThe Work of J. H. C. WhiteheadA Theorem on Linear ConnectionsOn Linear ConnectionsA Method of Obtaining Normal Representations for a Projective ConnectionOn a Class of Projectively Flat Affine ConnectionsThe Representation of Projective SpacesA Set of Axioms for Differential GeometryThe Foundations of Differential GeometryAffine Spaces of Paths Which are Symmetric about Each PointConvex Regions in the Geometry of PathsConvex Regions in the Geometry of Paths - AddendumThe Weierstrass E-function in Differential Metric GeometryOn the Covering of a Complete Space by the Geodesics through a PointLocally Homogeneous Spaces in Differential GeometryNote on Maurer's EquationsOn the Decomposition of an Infinitesimal GroupCertain Equations in the Algebra of a Semi-simple Infinitesimal GroupNote on Linear Associative AlgebrasAn Expression of Hopf's Invariant as an IntegralOn Normalizators of Transformation GroupsElie Joseph Cartan, 1869-1951Contents of Volumes I to IV
