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Differential Geometry I


Regular participation: at least 85% of participation in the tutorials is needed. Active participation: at least 60% of all possible points that can be earned in the homework assignments are needed.
InstructorProf. Dr. Konrad Polthier, Yannic Wendt
RoomArnimallee 6
StartOct 19, 2021 | 12:15 PM
endFeb 17, 2022 | 02:00 PM

*Lecture: Tuesday, 12:00 - 14:00, via WebEx, Thursday, 12:00 - 14:00, via WebEx

*Tutorials: Friday, 08:00 - 10:00, via WebEx


The lectures and the tutorials will be held in English on request.


Analysis I-II,

Linear Algebra I & II

Differential geometry studies local and global properties of curved spaces.

Topics of the lecture will be:

  • Curves and surfaces in Euclidean space
  • Metrics and (Riemannian) manifolds
  • Surface tension and notions of curvature
  • Vector fields, tensors, covariant derivative
  • Geodesic curves, exponential map
  • Gauß-Bonnet theorem, curvature and topology
  • Connection to discrete differential geometry

Prerequisits: Analysis I, II and Linear Algebra I, II