A note on induced connections

Year 2021, Volume: 50 Issue: 6, 1737 - 1744, 14.12.2021

Mohamed Tahar Kadaoui Abbassi , Ibrahim Lakrini

https://doi.org/10.15672/hujms.829790

https://izlik.org/JA62HJ76DE

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

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