# Framable submanifold

From Diffgeom

Template:Differential submanifold property

## Definition

A submanifold of a differential manifold is termed **framable** if it satisfies the following equivalent conditions:

- The normal bundle to the submanifold inside the manifold is a trivial vector bundle
- There exists a framing of the submanifold; in other words, it can be given the structure of a framed submanifold