|
Instructors: Prof. Dr. rer. nat. Karsten Große-Brauckmann; Jerome Alex; M.Sc. Tobias Ewald
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Diff. Geom.
Subject:
Crediting for:
Hours per week:
6
Language of instruction:
German and English
Min. | Max. participants:
- | -
Course Contents:
Curves: arc length and curvature; selected global theorems.
Surface theory: fundamental forms, shape operator; principal curvatures, Gaussian and mean curvature.
Compatibility equations, geodesics, parallel transport, Gauss-Bonnet Theorem.
Topics from discrete differential geometry, such as: curvature of polygonal curves and polyhedral surfaces, Bézier curves and surfaces.
Literature:
Bär: Elementare Differentialgeometrie
Montiel, Ros: Curves and surfaces
Hoschek, Lasser: Grundlagen der Geometrischen Datenverarbeitung
Preconditions:
Analysis, gew. Differentialgleichungen, Lineare Algebra
|
