Let \(M\) be a connected smooth manifold. Show that for all \(p,q\in M\) there is a diffeomorphism \(f:M\to M\) such that \(f(p)=q\).
Question
Math 6510 • Differentiable Manifolds
Fall 2024 • Question 6
Question
Fall 2024 • Question 6
Let \(M\) be a connected smooth manifold. Show that for all \(p,q\in M\) there is a diffeomorphism \(f:M\to M\) such that \(f(p)=q\).