Normal Bundle

The normal bundle of a submanifold N in M is the vector bundle over N that consists of all pairs (x,v), where x is in N and v is a vector in the vector quotient space TxM/TxN. Provided M has a Riemann metric, TxM/TxN can be thought of as the orthogonal complement to Tx in TxM.

This entry contributed by Ryan Budney

Explore with Wolfram|Alpha

Cite this as:

Budney, Ryan. "Normal Bundle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

Subject classifications