World Scientific Lecture Notes in Physics - Vol. 16
RIEMANNIAN GEOMETRY, FIBER BUNDLES, KALUZA-KLEIN THEORIES AND ALL THAT.....
by R Coquereaux (CNRS-Luminy) & A Jadczyk (Wroclaw)
This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action. It would definitely prove interesting reading to physicists and mathematicians, theoretical and experimental.
Contents:
- Generalities
- Riemannian Geometry of Lie Groups
- Riemannian
Geometry of Homogeneous Spaces
- Riemannian Geometry of a (Right) Principal Bundle
- Riemannian Geometry of a Bundle with Fibers G/H and a Given Action of a Lie Group G
- Geometry of Matter Fields
- Harmonic Analysis and Dimensional Reduction
- Dimensional Reduction of the Orthogonal Bundle and of the Spin Bundles
- G-Invariance of Einstein-Yang-Mills Systems
- Action of a Bundle of Groups
Readership: High energy and mathematical physicists.
"Written by two leading experts in the field, this book provides a systematic and pedagogical presentation of Kaluza-Klein theories in a precise mathematical language ... This book is one of the few in the particle physics literature that encourages dialogue with mathematicians."
Thomas Schücker
Mathematical Reviews |
| 360pp |
Pub. date: Mar 1988 |
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