![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Subbundle.png/640px-Subbundle.png&w=640&q=50)
Subbundle
Mathematical collection / From Wikipedia, the free encyclopedia
In mathematics, a subbundle of a vector bundle
on a topological space
is a collection of linear subspaces
of the fibers
of
at
in
that make up a vector bundle in their own right.
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Subbundle.png/640px-Subbundle.png)
In connection with foliation theory, a subbundle of the tangent bundle of a smooth manifold may be called a distribution (of tangent vectors).
If a set of vector fields span the vector space
and all Lie commutators
are linear combinations of the
then one says that
is an involutive distribution.