Connection theory on differentiable fibre bundles. A pedagogical introduction

2005/10/01 by Iliev, Bozhidar Z.
#53B05 (Primary) 58A30 (Secondary) #53C05 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.math-ph/0510004

Abstract

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

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