International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 17, Article ID 56397, 51 pages
doi:10.1155/IJMMS/2006/56397
Connection theory on differentiable fibre bundles: A concise introduction
Bozhidar Z. Iliev
Laboratory of Mathematical Modeling in Physics, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Boulivare Tzarigradsko Chaussée 72, Sofia 1784, Bulgaria
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.