Sheet 2

This sheet covers the material of lectures 5-7, with the topics submersions, immersions and embeddings, the Whitney Embedding Theorem, vector fields and flows, and the Lie derivative. The relevant parts of the Hitchin lecture notes are Sections 3-4, and of the Lotay lecture notes Sections 2-3.

This sheet will not be marked, so please do not hand in solutions. The file 25C33Sheet2.pdf just contains the questions, whilst the file 25C33Soln2A+C.pdf contains the questions and the solutions to Sections A and C, and the file 25C33Soln2B.pdf contains the questions and the solutions to Section B.