Connection theory on differentiable fibre bundles: A concise introduction

The paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles. The (local) representations of connections in frames adapted to holonomic and arbitrary frames are considered.

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Main Author: Bozhidar Z. Iliev
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/56397
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author Bozhidar Z. Iliev
author_facet Bozhidar Z. Iliev
author_sort Bozhidar Z. Iliev
collection DOAJ
description The paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles. The (local) representations of connections in frames adapted to holonomic and arbitrary frames are considered.
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1687-0425
language English
publishDate 2006-01-01
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record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-291bcc424ebc4d509d0a1d3ec57affd52025-08-20T02:03:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5639756397Connection theory on differentiable fibre bundles: A concise introductionBozhidar Z. Iliev0Laboratory of Mathematical Modeling in Physics, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Boulivare Tzarigradsko Chaussée 72, Sofia 1784, BulgariaThe paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles. The (local) representations of connections in frames adapted to holonomic and arbitrary frames are considered.http://dx.doi.org/10.1155/IJMMS/2006/56397
spellingShingle Bozhidar Z. Iliev
Connection theory on differentiable fibre bundles: A concise introduction
International Journal of Mathematics and Mathematical Sciences
title Connection theory on differentiable fibre bundles: A concise introduction
title_full Connection theory on differentiable fibre bundles: A concise introduction
title_fullStr Connection theory on differentiable fibre bundles: A concise introduction
title_full_unstemmed Connection theory on differentiable fibre bundles: A concise introduction
title_short Connection theory on differentiable fibre bundles: A concise introduction
title_sort connection theory on differentiable fibre bundles a concise introduction
url http://dx.doi.org/10.1155/IJMMS/2006/56397
work_keys_str_mv AT bozhidarziliev connectiontheoryondifferentiablefibrebundlesaconciseintroduction