Discrete Differential Geometry

This theme studies discrete analogues of classical surface theories and their integrable structures.

Topics

• Discrete constant negative Gaussian curvature surfaces.
• Discrete constant mean curvature surfaces on graphs.
• Discrete affine spheres.
• Nonlinear d'Alembert formulae.
• Dressing actions and integrable discretizations.

Representative publications

• A construction method for discrete constant negative Gaussian curvature surfaces.
• Nonlinear d'Alembert formula for discrete pseudospherical surfaces.
• Representation formula for discrete indefinite affine spheres.
• Discrete constant mean curvature surfaces on general graphs.