Clifford Henry Taubes
Abstract
This chapter examines principal bundles, which is defined as the Lie group analog of a vector bundle. It covers principal bundles constructed from vector bundles; examples of Lie group quotients; cocycle construction examples; pull-backs of principal bundles; reducible principal bundles; and associated vector bundles.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
This chapter examines principal bundles, which is defined as the Lie group analog of a vector bundle. It covers principal bundles constructed from vector bundles; examples of Lie group quotients; cocycle construction examples; pull-backs of principal bundles; reducible principal bundles; and associated vector bundles.
Key concepts: Vector bundle, Principal bundle, Principal (computer security), Pure mathematics, Associated bundle, Mathematics, Splitting principle, Bundle