The Fibre Bundle Construction Theorem

Will J. Merry
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Will J. Merry: ETH Zürich, Departement Mathematik

Chapter Chapter 17 in Lectures on Differential Geometry I, 2026, pp 147-156 from Springer

Abstract: Abstract In this chapter we discuss morphisms between G-fibre bundles, give a recipe for constructing such bundles, and show they are determined up to isomorphism by their transition functions. We conclude by showing how a vector bundle canonically determines a principal bundle. Next chapter we will investigate the converse direction: producing vector bundles from principal bundles.

Date: 2026
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DOI: 10.1007/978-3-032-03733-6_17

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