# Differentialgeometrie II / Analysis and Geometry on Manifolds Winter 09/10

This is not the main page for this class. Only information regarding the exercises will be here.

## Problem sets

• Problem set 1
• Problem set 2

The word ‘embedding’ in problem 6 refers to a topological embedding, i.e. a continuous injective function f : X Y such that the function g: f[X] X defined by g(f(x)) = x is continuous.

• Problem set 3
• Problem set 4
• Problem set 5
• Problem set 6

I had to change Problem 16, because I was mistaken about what definition was used in class. I apologize for the confusion that this might have caused.

• Problem set 7
• Problem set 8

I have been asked for the result of Problem 25, especially the sign. Therefore here is a complete solution along the lines of the calculation of the special case n=2 done in the tutorial.

• Extra problem set

This is for those who have only about 50% or less of the points so far. If you hand in solutions to these, we will still expect you to score reasonably well on the problem sets after the holidays, so it will be useless to you raise your score considerably above 50% with this extra problem set.

• Problem set 9
• Problem set 10
• Problem set 11