# Differentiable Manifolds/Differential forms

**Definition (wedge product bundle)**:

Let be a differentiable manifold and be the -tensor bundle of . The **wedge product bundle of degree **, denoted , is the subbundle of made of the elements of which are invariant under all vector bundle isomorphisms

**Definition (n-form)**:

Let be a differentiable manifold. An **-form** on is an element of

- ,

the sections of the vector bundle .