Natural bundle
In mathematics, a natural bundle is any fiber bundle associated to the s-frame bundle for some. It turns out that its transition functions depend functionally on local changes of coordinates in the base manifold together with their partial derivatives up to order at most.
The concept of a natural bundle was introduced by Albert Nijenhuis as a modern reformulation of the classical concept of an arbitrary bundle of geometric objects.
An example of natural bundle is the tangent bundle of a manifold.
