Research Catalog

Title

Geometry, spinors, and applications / Donal J. Hurley and Michael A. Vandyck.

Author

Hurley, Donal J., 1944-

Publication

London ; New York : Springer ; Chichester : Praxis Pub., c2000.

Items in the Library & Off-site

Details

Additional Authors

Vandyck, Michael A., 1959-

Description

xvii, 369 p. : ill.; 25 cm.

Summary

"This book is concerned with covariant and Lie differentiation of spinor fields, in the general context of not necessarily metric-compatible connections and non Killing-vector directions, respectively. Some earlier investigations of special cases are presented here in a unified fashion. New results are also established, which appear in print for the first time." "This work should be helpful to graduate students and researchers. Students can benefit from the introduction to aspects of algebra, geometry and spinors and their applications, whereas researchers may concentrate on the specific problem of spinorial differentiation."--Jacket.

Series Statement

Springer-Praxis books in mathematics

Uniform Title

Springer-Praxis books in mathematics.

Subject

• Spinor analysis
• Mathematical physics

Bibliography (note)

• Includes bibliographical references (p. 359-364) and index.

Processing Action (note)

• committed to retain

Contents

I. Preliminaries and Algebraic Aspects of Spinors. 1. General Vector Spaces. 2. Vector Spaces with a Metric -- II. Preliminaries and geometrical aspects of spinors. 3. Manifolds in General. 4. Lie Groups as Special Manifolds. 5. Fibre Bundles as Special Manifolds -- III. General Spinorial Differentiation. 6. Geometrical Definition of C[subscript 31](R) Spinors. 7. Differentiation of Spinor Fields. 8. Interplay between Differentiations. 9. The Invariant Formalism -- IV. Illustrations and Applications. 10. Newtonian Mechanics and C[subscript 30](R). 11. Electro-Magnetism. 12. Cartan Formalism. 13. Geometrical Gravitational Theories. App. A. Infeld-van der Waerden Symbols -- App. B. Maxwell's Equations: Complements.

ISBN

1852332239 (acid-free paper)

LCCN

^^^99050072^

OCLC

• 42603305
• SCSB-9999537

Owning Institutions

Harvard Library