Sfb 288 Differential Geometry and Quantum Physics

Experimental mathematics and visualization projects

Surfaces
Compact CMC surfaces	Examples with low genus
Discrete CMC surfaces	A numerical algorithm
Discrete surfaces (1)	Discrete CMC surfaces by the DPW-method
Discrete surfaces (2)	Darboux transformations of discrete isothermic surfaces
Painleve Functions in Differential Geometry	Some Applications in Classical Surface Theory
Affine Spheres	The DPW-method applied to Affine Spheres
Curves
Discrete curves (1)	Bäcklund transformations for discrete curves
Discrete curves (2)	Doubly discrete smoke ring flow
Discrete curves (3)	Discrete elastic curves and spinning tops
Geodesics and waves	on piecewise linear surfaces
Software development
Branched texture maps	on arbitrary surfaces
Mathematical information system	Efficient sharing, search, retrieval, registration and re-purposing of DMDs
Hierarchical triangulations	Multi-parameter families of geometries
Oorange	Visualization system for experimental mathematics