Riemannian Geometry (Summer Semester 2011)
- Lecturer: Hdoz. Dr. Oliver Baues
- Classes: Lecture (0152200), Problem class (0152300)
- Weekly hours: 4+2
Please see the German page for more information.
| Schedule | ||
|---|---|---|
| Lecture: | Tuesday 9:45-11:15 | AOC 101 Gebäude 30.45 |
| Wednesday 11:30-13:00 | 1C-03 Gebäude 05.20 | |
| Problem class: | Thursday 15:45-17:15 | 1C-04 |
| Lecturers | ||
|---|---|---|
| Lecturer | Hdoz. Dr. Oliver Baues | |
| Office hours: | ||
| Room Allianz-Gebäude (05.20) | ||
| Email: | Problem classes | Dr. Johannes Riesterer |
| Office hours: | ||
| Room Allianz-Gebäude (05.20) | ||
| Email: | ||
The course gives an introduction into the study of smooth manifolds and Riemannian metrics. Riemannian metrics are a fundamental tool in the geometry and topology of manifolds, and they are also of equal importance in mathematical physics and relativity.
We will cover the basic concepts of differentiable manifolds and the properties of Riemannian and Pseudo-Riemannian metrics, the Levi-Civita connection, geodesics and Riemannian curvature. We will also study the geometry of basic examples, such as constant curvature space forms, submanifolds, and Lie groups.
Analytic continuation of holonomy around a path