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.

• 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