19202601
Lecture
WiSe 18/19: Differentialgeometrie I
Klaus Ecker
Additional information / Pre-requisites
Requirements:
Analysis I -III and Linear Algebra I - II.
Comments
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.
closeSuggested reading
Spivak, M.: A comprehensive introduction in differential geometry I–II
Montiel S. and Ros A.: Curves and Surfaces