Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that

Book · Fri Jan 01 04:00:00 EST 1988

OSTI ID:6510038

Coquereaux, R; Jadczyk, A

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 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.

• OSTI ID: 6510038
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL GEOMETRY
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GEOMETRY
KALUZA-KLEIN THEORY
LIE GROUPS
MATHEMATICAL SPACE
MATHEMATICS
RIEMANN SPACE
SPACE
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY