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Math 6510 • Differentiable Manifolds

Fall 2014 • Question 5

Question

Math 6510 • Differentiable Manifolds Fall 2014 • Question 5

Let \(M\) be a differentiable manifold. Prove that its tangent bundle \(TM\) and and its cotangent bundle are isomorphic as smooth vector bundles.

Raw LaTeX

Let \(M\) be a differentiable manifold. Prove that its tangent bundle \(TM\) and
and its cotangent bundle are isomorphic as smooth vector bundles.

Topic Tags

Homotopy and Degree on Manifolds Smooth Manifolds and Embedded Submanifolds Stokes' Theorem and Integration on Manifolds Tangent Bundles and Vector Bundles

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