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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2008 • Question 2

Question

Math 6510 • Differentiable Manifolds Spring 2008 • Question 2

Let \(G\) be an \(n\)-dimensional Lie group, and \(TG\) it’s tangent bundle. Prove that \(TG\) is diffeomorphic to \(G\times \mathbb {R}^n\).

Raw LaTeX

Let \(G\) be an \(n\)-dimensional Lie group, and \(TG\) it's tangent bundle. Prove
that \(TG\) is diffeomorphic to \(G\times\R^n\).

Topic Tags

Lie Groups and Matrix Lie Groups Tangent Bundles and Vector Bundles