Let \(G\) be an \(n\)-dimensional Lie group. Show that the tangent bundle \(TG\) is isomorphic as a bundle to the product bundle \(G\times \mathbb {R}^n\).
Question
Math 6510 • Differentiable Manifolds
Spring 2023 • Question 6
Question
Spring 2023 • Question 6
Let \(G\) be an \(n\)-dimensional Lie group. Show that the tangent bundle \(TG\) is isomorphic as a bundle to the product bundle \(G\times \mathbb {R}^n\).