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Differential Geometry II: Analysis and geometry
on manifolds (Winter 12)


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 IIII, 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 IV, Publish or Perish
1975.
 W. Ballmann, Mannigfaltigkeiten: Ein Steilkurs and Vector
Bundles and Connections, lecture notes.
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