Twistor geometry and field theory
Author(s)
Bibliographic Information
Twistor geometry and field theory
（Cambridge monographs on mathematical physics）
Cambridge University Press, 1991, c1990
1st pbk. ed
- : pbk
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Note
Bibliography: p. 485-503
Includes index
Description and Table of Contents
Description
This book deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, algebraic topology and results in a new perspective on the properties of space and time. The authors firstly develop the mathematical background, then go on to discuss Yang-Mills fields and gravitational fields in classical language, and in the final part a number of field-theoretic problems are solved. Issued here for the first time in paperback, this self-contained volume should be of use to graduate mathematicians and physicists and research workers in theoretical physics, relativity, and cosmology.
Table of Contents
- Part I. Geometry: 1. Klein correspondence
- 2. Fibre bundles
- 3. Differential geometry
- 4. Integral geometry
- Part II. Field Theory: 5. Linear field theory
- 6. Gauge theory
- 7. General relativity
- Part III. The Penrose Transform: 8. Massless free fields
- 9. Self-dual gauge fields
- 10. Self-dual space-times
- 11. General gauge fields
- 12. Stationary axisymmetric space-times
- Special topics.
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