--- date: 2022-02-11 23:09 modification date: Friday 11th February 2022 23:09:53 title: flat bundle aliases: [flat bundle] --- Tags: ? Refs: [curvature](Unsorted/curvature.md) # flat bundle A flat bundle is a vector bundle with constant transition functions. Any flat bundle admits a canonical *flat connection*, i.e. a connection with vanishing [curvature form](Unsorted/curvature.md). ![](attachments/Pasted%20image%2020220408005414.png) ![](attachments/Pasted%20image%2020220408005419.png) ![](attachments/Pasted%20image%2020220408005430.png) ![](attachments/Pasted%20image%2020220408005806.png)