Exercise session of differential geometry 1 [diffgeo]

This page is reserved for the course “Grundlagen der Geometrie und Topologie” taught in SS2025 in Heidelberg. I will upload my notes for the exercise sessions here. All these notes are not official and written by my own. They should only be considered as the supplementary material for the preparation of exams.

1. Week 0: Point-set topology [diffgeo-w0]

In the 0th week we have reviewed some concepts of basic point-set topology, especially the notion of product topology and compactness.

2. Week 1: Topological and smooth manifolds [diffgeo-w1]

In the 1st week we have seen more examples of manifolds, talked about the orientability, filled the gap of the rank theorem in the lecture and studied the smooth group actions on manifolds.

3. Week 2 [diffgeo-w2]

    Cancelled due to public holidays.