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Differential Geometry II (Winter 14)

- Analysis and geometry on manifolds -

Lectures Prof. Dr. Ulrich Pinkall Di 10-12 MA 313
Do 10-12 MA 313
Tutorial Felix Knöppel Mi 12-14 MA 650
Do 12-14 MA 645

News:

  • There will be no exercise sheet this week (January 19-24) - 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:

Further:

  • J. M. Lee, Introduction to Smooth Manifolds, Springer, 2012.
  • Dubrovin, Fomenko, Novikov, Modern Geometry I-III, Springer, 1990.
  • J. Milnor, Topology from the Differentiable Viewpoint, The University Press of Virginia, 1965.
  • M. Spivak, A comprehensive Introduction to Differential Geometry I-V, Publish or Perish 1975.

Contact

  Name Office hours Room Tel. email
Professor Prof. Dr. Ulrich Pinkall by appointment MA 822 314-25783 pinkall@math.tu-berlin.de
Assistent Felix Knöppel by appointment MA 882 314-25783 knoeppel@math.tu-berlin.de
Office Annett Gillmeister Mo, Di, Do, Fr 9:30-11:30 Uhr MA 8-1 314-29281 gillmeister@math.tu-berlin.de

Felix Knöppel . 27.01.2015.