Circle Bundle


A circle bundle pi:E->M is a fiber bundle whose fibers pi^(-1)(x) are circles. It may also have the structure of a principal bundle if there is an action of SO(2) that preserves the fibers, and is locally trivial. That is, if every point has a trivialization U×S^1 such that the action of SO(2) on S^1 is the usual one.

See also

Bundle, Group Action, Principal Bundle

This entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd. "Circle Bundle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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