Department of Mathematics

Differential Geometry I

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Contents: This course is devoted to differentiable manifolds. We begin by studying their differentiable functions, maps and the rank theorem. We then move on to Sard's Theorem, apply it to the Whitney Embedding Theorem and, if time permits, to Brouwer's Fixed Point Theorem. A later part of the course deals with differential forms, integration theory, the exterior derivative, Stokes' Theorem and applications to de Rham cohomology.

Lecturer: Prof. Dr. Marc Burger
Organizer: Stephan Tornier


On Wednesdays: 1-3 p.m. at HG E 5, starting on 16.09.
On Fridays: 8-10 a.m. at HG D 1.1.


According to the following table based on Nemesis enrolment, starting on 17.09.

Time Place Box
Franziska Borer Thursdays, 2-3 p.m.
HG E 21
HG F 28
Berit Singer Thursdays, 1-2 p.m.
CAB G 52
HG F 28
Samuel Trautwein Fridays, 1-2 p.m.
HG G 26.3
HG F 28
Micha Wasem Thursdays, 2-3 p.m.
HG F 26.3
HG F 28

Go to your taskbase account for the exercise sheets and more information.


The following items may be useful.

Dennis Barden and Charles Thomas: An Introduction to Differential Manifolds.
William M. Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry.
John W. Milnor: Topology from the Differentiable Viewpoint.


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