Differential Geometry III — Lorentzian Geometry

Prof. Bernd Ammann, Office no. 119

Black Hole

This picture arose from computer calculations using basic properties of Lorentzian manifolds. It represents a black hole.
The image was obtained from the web page linked here
Picture created by Alain Riazuelo, IAP/UPMC/CNRS under the license CC-BY-SA 3.0.


In this lecture we want to deepen our knowledge about semi-Riemannian and in particular Lorentzian manifolds. The precise content will be fixed a bit later, but it is likely to be a choice out of the following:


Analysis I-IV, Lineare Algebra I+II, differential geometry I. Helpful is the lecture differential geometry II, but as the topics are pretty disjoint, the gaps could be compensated by reading some literature.

Time and Location

Monday and Wednesday 8.15-10.00
Monday 8.15-10.00 in M102 and Wednesday 8-15-10.00 in M101
Please register on GRIPS to get the latest news and information about the exercises.

Lecture Notes

Partial lecture Notes are available here. Please assume that they will not be continued. In parts of the lecture I use excerpts from the the Ammann-Bär lecture about the Yamabe problem (German language)

Exercise Sheets

(some links are not active yet)
All Exercise sheets in one file

Related Websites


Literature directly associated to the lecture

Literature about mathematical foundations

Scripts whose knowledge is required for the lecture

Alternative scripts

Literature about the physics associated to the subject


Other links

Some interesting links at the borderline of the lecture

This is a collection of links which are only loosely connected to the lecture, but might might be of interest to the audience.
Bernd Ammann, 28.01.2022
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