The normal bundle of a submanifold is the vector bundle over that consists of all pairs , where is in and is a vector in the vector quotient space . Provided has a Riemann metric, can be thought of as the orthogonal complement to .

# Normal Bundle

*This entry contributed by Ryan Budney*

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Budney, Ryan. "Normal Bundle." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/NormalBundle.html