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Differential Geometry I
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| Professor | Prof. Dietmar A. Salamon |
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We 08-10 HG G 3 » |
| Fr 10-12 HG F 3 » | |||
| Koordinator | Tatjana Simcevic | ||
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Surname |
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Assistents |
Pascal Rolli | A- G | We 11-12 HG F 26.3 » |
| Christian Riedweg |
H-L |
We 15-16 HG G 26.5 » | |
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Roger Züst |
M-Se |
We 15-16 HG G 3 » | |
| Christian Lieb | Si -Y | Fr 09-10 HG G 26.1 » | |
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Syllabus |
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Differentiable manifolds, tangent bundle, embeddings, Frobenius' theorem. Geodesics, second fundamental form, completeness, Hopf-Rinow theorem. Levi-Civita connection, parallel transport, Christoffel symbols, frame bundle. Isometries, Riemann curvature tensor, Bianchi identities, Teorema Egregium, Cartan-Ambrose-Hicks theorem, constant curvature, symmetric spaces. |
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References |
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1. Differential Topology, V. Guillemin , A. Pollack. 2. Topology from Differentiable Viewpoint, J. Milnor. 3. Riemannian Geometry, M.P. Carmo. 4. The script of J. Robbin here. 5. You can download the script in German from 2002/03 here 6. New version of current lecture notes ( in progress ) here. |
The course starts: Fr 24 September 2010
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The exercises start: We 29. September and Fr 1. October.
Testat conditions: 8 out of 12 meaningfully done exercise sheets.
Exercises: The details are here.
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