Let \(M\) be a differentiable manifold. Prove that its tangent bundle \(TM\) and its cotangent bundle \(TM^*\) are isomorphic as smooth vector bundles.
Question
Math 6510 • Differentiable Manifolds
Fall 2015 • Question 2
Question
Fall 2015 • Question 2
Let \(M\) be a differentiable manifold. Prove that its tangent bundle \(TM\) and its cotangent bundle \(TM^*\) are isomorphic as smooth vector bundles.