Sheet 4

This sheet covers the material of lectures 13-16, with the topics manifolds with boundary, Stokes' Theorem, the degree of smooth maps, Riemannian metrics, isometries, and Killing fields. The relevant parts of the Hitchin lecture notes are Sections 7-9, and of the Lotay lecture notes Sections 6-8.

None of this sheet will be marked, I'm afraid. The class will concentrate on Section B unless people ask otherwise. The file 23C33Sheet4.pdf just contains the questions, whilst the file 23C33Soln4A+C.pdf contains the questions and the solutions to Sections A and C.