Studies

192
Compulsory

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Auswahl aus folgenden Themen:
  • Kurven und Flächen im euklidischen Raum,
  • Metriken und Riemann'sche Mannigfaltigkeiten,
  • Oberflächenspannung und Krümmungsbegriffe,
  • Vektorfelder, Tensoren, kovariante Ableitung,
  • Geodätische Kurven, Exponentialabbildung,
  • Satz von Gauß-Bonnet, Topologie,
  • Verbindungen zur diskreten Differentialgeometrie.

Voraussetzungen:

Analysis I bis III und Lineare Algebra I und II

Topics of the lecture will be:

  • curves and surfaces in Euclidean space,
  • metrics and (Riemannian) manifolds,
  • surface tension, notions of curvature,
  • vector fields, tensors, covariant derivative
  • geodesic curves, exponential map,
  • Gauß-Bonnet theorem, topology,
  • connection to discrete differential geometry.

This course is a BMS course and will be held in English on request.

Prerequisits:

Analysis I, II, III and Linear Algebra I, II

 

 

Cross-language

192 026
Compulsory

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AncillaryCourses

Übung zu Differentialgeometrie I

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