Let \(M\) be a compact manifold. Prove that there does not exist a smooth submersion \(f:M\to \mathbb {R}^n\) for any \(n>0\).
Question
Math 6510 • Differentiable Manifolds
Fall 2008 • Question 4
Question
Fall 2008 • Question 4
Let \(M\) be a compact manifold. Prove that there does not exist a smooth submersion \(f:M\to \mathbb {R}^n\) for any \(n>0\).