19202601 Lecture

WiSe 18/19: Differentialgeometrie I

Klaus Ecker

Additional information / Pre-requisites

Analysis I -III and Linear Algebra I - II.


Selection of the following topics:

  • Curves and surfaces in Euclidean space
  • Metrics and Riemannian manifolds
  • Notions of curvature
  • Vectorfields, covariant derivatives
  • Geodesics, exponential map
  • Gauss- Bonnet theorem
  • Relations to discrete differential geometry

This course is a BMS course and will be held in English if requested.


Suggested reading

Spivak, M.: A comprehensive introduction in differential geometry I–II

Montiel S. and Ros A.: Curves and Surfaces

Subjects A - Z