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Differential Geometry II: Analysis and geometry
on manifolds (Winter 12)
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News:
- No lectures and no tutorial between 17 December and 21 December
Content:
Differentiable manifolds, vector bundles, differential forms, Riemannian geometry.
Course work:
There will be weekly homework assignments. To obtain the course certificate you need to get 50% of the points.
Assignments:
- 1. Exercise sheet [pdf], due 24 October
- 2. Exercise sheet [pdf], due 31 October
- 3. Exercise sheet [pdf], due 07 November (update - 2. exercise - inserted missing i)
- 4. Exercise sheet [pdf], due 14 November
- 5. Exercise sheet [pdf], due 21 November
- 6. Exercise sheet [pdf], due 28 November
- 7. Exercise sheet [pdf], due 05 December
- 8. Exercise sheet [pdf], due 12 December
- 9. Exercise sheet [pdf], due 09 January
- 10. Exercise sheet [pdf], due 16 January (update - 3. exercise - inserted missing square)
- 11. Exercise sheet [pdf], due 23 January
- 12. Exercise sheet [pdf], due 30 January
- 13. Exercise sheet [pdf], due 06 February
Literature:
Further:
- Dubrovin, Fomenko, Novikov, Modern Geometry I-III, Springer, 1990.
- J. Milnor, Topology from the Differentiable Viewpoint,
The University Press of Virginia, 1965.
- F. Warner, Foundations of
Differentiable Manifolds and Lie Groups, Springer 1983.
- M. Spivak, A comprehensive
Introduction to Differential Geometry I-V, Publish or Perish
1975.
- W. Ballmann, Mannigfaltigkeiten: Ein Steilkurs and Vector
Bundles and Connections, lecture notes.
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