Homework Statement
I need to prove that the unit n-sphere is a closed C^inf-manifold, and am not sure what to do.
Homework Equations
The unit n-sphere is defined as:
S^n = {(x_0,...,x_n) belongs to R^(n+1) | (x_0)^2+...+(x_n)^2=1}
The Attempt at a Solution
It's not a proof, but a simple...