A line bundle is a special case of a vector bundle in which the fiber is either , in the case of a real line bundle, or , in the case of a complex line bundle.
Line Bundle
See also
Manifold, Principal Bundle, Trivial Bundle, Vector BundleThis entry contributed by Todd Rowland
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Rowland, Todd. "Line Bundle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/LineBundle.html