TU Berlin Fakultät II
Institut für Mathematik

Arbeitsgruppe Geometrie



Geometry Group



Vergangene Semester


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Differential Geometry II (Winter 16)

– Analysis and geometry on manifolds –

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


  • There will be no lecture on 6 and 7 February. The homework can be turned in before the tutorial on 8 February.
  • Corrected sign error in 1. exercise of the 6. sheet.
  • Unfortunately, there are not enough participants to have two tutorials this semester. The tutorial on Thursday is thus cancelled.


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:

The script is written parallel to the lecture. It can contain typos or even mistakes. If you have found some or you have 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 . 28.03.2017.