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    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  
    ISBN:   978-9971-5-0426-7
    9971-5-0426-X
       US$96 / £72

     


    360pp    Pub. date: Mar 1988  
    ISBN:   978-9971-5-0427-4(pbk)
    9971-5-0427-8(pbk)
       US$56 / £41

     


     

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