Geometry II: Discrete Differential Geometry (Summer 2009)

Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. Discrete differential geometry aims at the development and application of discrete equivalents of the geometric notions and methods of differential geometry. The latter appears then as a limit of refinements of the discretization. Polyhedral surfaces are one of the main topics of this course. Current progress in this field is to a large extent stimulated by its relevance for computer graphics.

This is a course of the Berlin Mathematical School held in English.

Contents

Polyhedral surfaces, intelligent (property preserving) discretizations, variational methods, discrete surfaces with constant curvature, orthogonal nets, integrable systems.

Geometry Java Applets

• Darboux-transform & Tractrix

Exercise sheets

Homework policy

To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments.

Office Hours

Geometry I