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Fibre bundles and connections

Springer New York, (2017), 1-93
DOI: 10.1007/978-94-024-0959-8_1
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Abstract

In the first part, we discuss principal and asssociated bundles and the theory of connections including the Koszul calculus. In the second part, we study bundle reductions, discuss the theory of holonomy and analyze the transformation laws of connection and curvature under bundle automorphisms. Finally, we present the theory of invariant connections.

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Rudolph, G., & Schmidt, M. (2017). Fibre bundles and connections. In Theoretical and Mathematical Physics(United States) (pp. 1–93). Springer New York. https://doi.org/10.1007/978-94-024-0959-8_1

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