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Differential Geometry, Summer Semester 2026

This course is the first course in differential geometry. This page will contain all the information related to the course.

Course Outline


Moodle (key: see the course outline above) Please join Moodle for uploading your solutions to the problem sets and for other communications.


Lectures: Mondays & Thursdays 10:15-11:45 in MIN-F Hörsaal 7 (Note the building).


Exercise sessions: Thursdays 14:15-15:45 in MIN-F SemRm 3.4. (Note the different classroom).
Office Hours: Tuesdays 14:00-15:00 in Room 320, Geomatikum.

Announcements
  • The first problem session will be on April 23rd 2026.


Lecture Notes

I'll upload the lecture notes here. The notes will be in both English and German.

Lecture 1 - Topological manifolds and examples/Topologische Mannigfaltigkeiten und Beispiele

Lecture 2 - Atlas and smooth structures/Atlas und glatte Strukturen

Lecture 3 - Examples of smooth manifolds/Beispiele für glatte Mannigfaltigkeiten

Lecture 4 & 5 - Smooth maps and tangent spaces/Glatte Abbildungen und Tangentialräume



Problem sets

Problem sets will be posted here (almost) weekly on Thursdays (starting 16th April 2026) and will be discussed in the problem sessions. It is highly recommended that you try to attempt all the problems. This will be beneficial to your understanding of the course material.

Problem Set 1 (due on 23.04.2026)

Problem Set 2 (due on 30.04.2026)