Transports along paths in fibre bundles. II. Ties with the theory of connections and parallel transports

2005/03/01 by Bozhidar Z. Iliev
Mathematics · Physics and Astronomy · #math.DG #gr-qc #math-ph #math.MP #msc:53C99 #msc:53B99

paper · pdf

published as Communication JINR, E5-94-16, Dubna, 1994 · 21 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2005/03/01 · arxiv updated 2009/12/01

Abstract

A review of the parallel transport (translation) in fibre bundles is presented. The connections between transports along paths and parallel transports in fibre bundles are examined. It is proved that the latter ones are special cases of the former.

Related

• Transports along paths in Fibre Bundles. I. General Theory
• Transports along maps in fibre bundles
• Linear Transports along Paths in Vector Bundles. I. General Theory
• Transports along Paths in Fibre Bundles. III. Consistency with Bundle Morphisms
• Linear Transports along Paths in Vector Bundles. II. Some Applications