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Differential Geometry II (Winter 14)
 Analysis and geometry
on manifolds 


News:
 There will be no exercise sheet this week (January 1924)  next sheet January 27.
 Exercise sheet 5 has been changed.
 The lecture starts at Thursday October 16, the tutorial at October 22.
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.
Exercise Sheets:
 1. Exercise sheet [pdf], due October 30
 2. Exercise sheet [pdf], due November 6
 3. Exercise sheet [pdf], due November 13
 4. Exercise sheet [pdf], due November 20
 5. Exercise sheet [pdf], due November 27
 6. Exercise sheet [pdf], due December 4
 7. Exercise sheet [pdf], due December 11
 8. Exercise sheet [pdf], due December 18
 9. Exercise sheet [pdf], due January 8
 10. Exercise sheet [pdf], due January 15
 11. Exercise sheet [pdf], due January 22
 12. Exercise sheet [pdf], due February 5
Literature:
 B. Andrews, Lectures on Differential Geometry, lecture notes.
 N. Hitchin, Differentiable Mannifolds, lecture notes.
 D. Ferus, Differentialgeometrie 2 (Riemannsche Geometrie), lecture notes.
 W. Ballmann, Notes on Differential Geometry, lecture notes.
 F. Warner, Foundations of Differentiable Manifolds and Lie Groups, Springer 1983.
 S. Gallot, D. Hulin, J. Lafontaine, Riemannian Geometry, Springer, 2004.
Further:
 J. M. Lee, Introduction to Smooth Manifolds, Springer, 2012.
 Dubrovin, Fomenko, Novikov, Modern Geometry IIII, Springer, 1990.
 J. Milnor, Topology from the Differentiable Viewpoint, The University Press of Virginia, 1965.
 M. Spivak, A comprehensive Introduction to Differential Geometry IV, Publish or Perish 1975.
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