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Differential Geometry II (Winter 18)

– Analysis and geometry on manifolds –


Lecture Prof. Ulrich Pinkall Tue10-12MA 141
Thu10-12
Tutorial Felix Knöppel Wed12-14 MA 841
Thu12-14

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.


News

  • Corrected the second exercise of sheet 12.
  • The lecture starts on Tuesday October 16.
  • Depending on the number of students one or two tutorials will be offered.

Contents

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

Homework

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.

Material

Lecture notes:

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

Literature:

  • 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
@math.tu-berlin.de
Lecturer Prof. Ulrich Pinkall by appointmentMA 822 pinkall
Assistant Felix Knöppel Wed 14.00-15.00MA 882 knoeppel
Secretary Beate Nießen Tue-Thu 9.30-11.30MA 318 niessen

Felix Knoeppel . 29.01.2019.
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