I am trying to understand the leaf holonomy of the Reeb foliation on the Möbius strip, the first problem being visualization. I have been unable to find a visualization of this anywhere. I am currently reading Hector and Hirsch's *"Introduction to the geometry of foliations"* Part A and in the book they describe Reeb components of the annulus to asymptotically approach the closed boundary leaves. However, the Möbius strip obviously only has one boundary component, so this is difficult transfer the visual and understand the holonomic behavior in this case.

The way that I have been thinking about it is in terms of the holonomy either "attracting" or "repelling" from the circle leaf on the boundary. Does anyone have any suggestions for understanding or even writing down the leaf holonomy of the Reeb foliation on the Möbius strip, or any helpful ways to visualize this? Additionally, it would be helpful to see what the quotient space representation looks like with the foliation.