TU Berlin Fakultät II
Institut für Mathematik

Arbeitsgruppe Geometrie



Geometry Group







Differential Geometry II (Winter 17)

– Analysis and geometry on manifolds –

Lecture Prof. Ulrich Pinkall Mon12-14MA 141
Tue10-12MA 841
Tutorial Felix Knöppel Wed12-14MA 841
Thu14-16MA 841

This course is a BMS basic course and the lectures will be in English. Please feel free to ask any questions (and to turn in any work) in English or German.


  • The certificates can be picked up at Beate Niessen's office MA 318.
  • There are no lectures on January 29/30. Homework can be handed in during the 29th at MA 882 or at the office MA 873
  • The lecture on Tueday 17 October and the tutorial on Thursday 19 October both will take place at MA 144


Differentiable manifolds, vector bundles, differential forms, Riemannian geometry.


Homework should be turned in by groups of two students. To get a certificate for the tutorial and qualify to take the oral exam at the end of the semester, you need to satisfactorily complete 50% of the homework assignments.


Lecture notes:

If you find mistakes or you have some comments please send an email to Felix.


  • Burstall, Basic Riemannian geometry in Spectral Theory and Geometry, L.M.S. Lect. Note Series 273, C.U.P. (1999), pages 1-29, [pdf]
  • Petersen, Manifold theory, [essay]
  • Warner, Foundations of Differentiable Manifolds and Lie Groups, GTM 94, Springer
  • Milnor, Topology from the Differentiable Viewpoint, U P Virginia

Further excellent notes on differential geometry can be found on Werner Ballmann's homepage.

  Name Office hours Room email
Lecturer Prof. Ulrich Pinkall by appointmentMA 822 pinkall
Assistant Felix Knöppel by appointmentMA 882 knoeppel
Secretary Beate Nießen Tue-Thu 9.30-11.30MA 318 niessen

Felix Knoeppel . 23.02.2018.