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

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

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.

Contact

  Name Office hours Room Tel. email
Professor Prof. Dr. Ulrich Pinkall TBA MA 301 314-25 783 pinkall@math.tu-berlin.de
Assistent Felix Knöppel TBA MA 882 314-25783 knoeppel@math.tu-berlin.de
Office Annett Gillmeister Mo, Di, Do, Fr 9:30-11:30 Uhr MA 3-2 314-29281 gillmeister@math.tu-berlin.de

Felix Knöppel . 30.01.2013.