Connection theory on differentiable fibre bundles: A concise
introduction

Iliev, Bozhidar Z.

doi:https://doi.org/10.1155/IJMMS/2006/56397

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 056397 | https://doi.org/10.1155/IJMMS/2006/56397

Connection theory on differentiable fibre bundles: A concise introduction

Bozhidar Z. Iliev¹

Received05 May 2006

Revised27 Jul 2006

Accepted08 Aug 2006

Published07 Nov 2006

Abstract

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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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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