Differential Geometry I
Differential geometry studies local and global properties of curved spaces.
Topics of the lecture will be:
- Curves and surfaces in Euclidean space
- Metrics and (Riemannian) manifolds
- Surface tension and notions of curvature
- Vector fields, tensors, covariant derivative
- Geodesic curves, exponential map
- Gauß-Bonnet theorem, curvature and topology
- Connection to discrete differential geometry
Prerequisits: Analysis I, II and Linear Algebra I, II
(19202601)
| Type | Lecture with exercise session |
|---|---|
| Instructor | Prof. Dr. Konrad Polthier, Eric Zimmermann |
| Language | English |
| Credit Points | 10 |
| Start | Oct 17, 2023 | 12:15 PM |
| end | Feb 15, 2024 | 02:00 PM |
| Time |
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Exercise Sheets
Lecture Notes (Notes DG1 WS21/22)
- Lecture 01
- Lecture 02
- Lecture 03 + 04
- Lecture 05
- Lecture 06 + 07
- Lecture 08 + 09
- Lecture 10
- Lecture 11
- Lecture 12
- Lecture 13
- Lecture 14
- Lecture 15
Scripts