Proposal 2

Proposal 2 for Homework (exam): Differential Geometry

Please write a summary on the foundations of Differential Geometry  as given in the course in lectures 07-11. The topics may contain:

• Foundations of Differentiable manifolds
• The tangent bundle of a smooth manifold
• Vector fields, differential forms, and Riemannian metrics on smooth manifolds

Your work should not be longer than 5-6 pages, please.