# Partition of Unity on Different Manifolds (Part 1. Introduction)

Desvl at
An application of partition of unityPartition of unity builds a bridge between local properties and global properties. A nice example is the Stokes' theorem on manifolds.Suppose $$\omega$$ is a $$(n-1)$$-form with compact support on a oriented manifold $$M$$ of dimension $$n$$ and if $$\partial{M}$$……