A note on induced connections

Authors : Mohamed Tahar KADAOUİ ABBASSİ, Ibrahim LAKRİNİ

Pages : 1737-1744

Doi:10.15672/hujms.829790

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Publication Date : 2021-12-14

Article Type : Research Paper

Abstract :In this note, we will exploit the classical bijective correspondence between sections of an associated vector bundle and equivariant functions on the underlying principal bundle to revisit a global formula for induced connections on associated vector bundles. Consequently, we give the expression of the curvature in terms of the curvature 2-form of a connection on a principal bundle.
Keywords : Principal bundle, Assosiated bundle, Induced connection, curvature