04-10-0507-vu Differential Geometry

Instructors: Prof. Dr. rer. nat. Ulrich Reif; Melanie Rothe

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:
recommended: Analysis, Ordinary Differetial Equations, Linear Algebra