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:

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, 1989

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Here are links to some of my papers, available online,
in .pdf format, dealing directly or indirectly with the subject

CONSERVATION LAWS AND STRINGLIKE MATTER DISTRIBUTIONS.
A. Jadczyk,
Print-82-0210 (GOTTINGEN), (Received Mar 1982). 26pp.
Published in Ann.Poincare 28:99-111,1983.

GEOMETRY OF MULTIDIMENSIONAL UNIVERSES.
R. Coquereaux, A. Jadczyk,
CERN-TH-3483, Dec 1982. 31pp.
Published in Commun.Math.Phys. 90:79-100,1983.

SYMMETRY OF EINSTEIN-YANG-MILLS SYSTEMS AND DIMENSIONAL REDUCTION.
A. Jadczyk
Published in J. Geom. Phys. 1 ( 1984) No.2 97-126

COLOR AND HIGGS CHARGES IN G/H KALUZA-KLEIN THEORY.
A.Z. Jadczyk
IC/84/42, Apr 1984. 28pp.
Published in Class.Quant.Grav.1:517-530,1984.

FIBER BUNDLES AND KALUZA-KLEIN THEORY.
A. Jadczyk
UWR-85/642, May 1985. 14pp. Lecture given at 21st Karpacz Winter School of Theoretical Physics, Karpacz, Poland, Feb 18 - Mar 2, 1985.
Published in Karpacz Winter School 1985:333 (QC178:W45:1985)

HARMONIC EXPANSION AND DIMENSIONAL REDUCTION IN G/H KALUZA-KLEIN THEORIES.
Coquereaux, A. Jadczyk
CERN-TH-4023/84, Sep 1984. 30pp.
Published in Class.Quant.Grav.3:29-42,1986.

CONSISTENCY OF THE G INVARIANT KALUZA-KLEIN SCHEME.
R. Coquereaux, A. Jadczyk
Nucl. Phys. B276 ( 1986) 617-628 and CERN Geneva - TH. 4305 (85,REC.DEC.) 15p.

ON BERRY'S PHASE.
Arkadiusz Jadczyk
Preprint, Based on talk presented at the 7th Summer Workshop on Mathematical Physics - Group Theoretical Methods and Physical Applications. Clausthal, Germany,

CONFORMAL THEORIES, CURVED PHASE SPACES, RELATIVISTIC WAVELETS AND THE GEOMETRY OF COMPLEX DOMAINS.
R. Coquereaux, A. Jadczyk
CPT-89/P-2302, Sep 1989. 43pp.
Published in Rev.Math.Phys. 2:1-44,1990.

See also LIE BALLS AND RELATIVISTIC QUANTUM FIELDS
R. Coquereaux, Published in Nuclear Physics 18B (1990) 48-52

TOPICS IN QUANTUM DYNAMICS.
A. Jadczyk
Published in Infinite Dimensional Geometry, Non Commutative Geometry, Operator Algebras, Fundamental Interactions,
ed. R. Coquereaux et al, Worl Scientific, Singapore 1995, pp. 57-91
e-Print Archive: hep-th/9406204

Link to Los Alamos server

 


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