A circle bundle is a fiber bundle whose fibers are circles. It may also have the structure of a principal bundle if there is an action of that preserves the fibers, and is locally trivial. That is, if every point has a trivialization such that the action of on is the usual one.

# Circle Bundle

## See also

Bundle, Group Action, Principal Bundle
*This entry contributed by Todd
Rowland*

## Explore with Wolfram|Alpha

## Cite this as:

Rowland, Todd. "Circle Bundle." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/CircleBundle.html