معلومات المقرر

Digitale Lehre
Classes are video-streamed using zoom. 
They will not be recorded but detailed written course notes are available (in German).

Lehrinhalte
local theory of curves: arc length, curvature, frames
extrinsic surface theory: fundamental forms, shape operator, principal curvatures, Gaussian and mean curvature.
intrinsic surface theory: geodesics, compatibility equations, parallel transport
global theory of curves: turning tangent theorem, total curvature
global theory of surfaces: Gauss-Bonnet Theorem.
possibly further topics like discrete differential geometry, or Bézier curves and surfaces

Literatur
Bär: Elementare Differentialgeometrie
Montiel, Ros: Curves and surfaces
Hoschek, Lasser: Grundlagen der Geometrischen Datenverarbeitung

Voraussetzungen
recommended: Analysis, Ordinary Differetial Equations, Linear Algebra