We consider a classical problem in differential geometry, known as the Bonnet problem, whether a surface is characterized by a metric and mean curvature function. We explicitly construct a pair of immersed tori that are related by a mean curvature preserving isometry. This resolves a longstanding open problem on whether the metric and mean curvature function determine a unique compact surface. Visualizations based on structure preserving discretizations of Discrete Differential Geometry were used to find crucial geometric properties of surfaces. This is a joint work with Tim Hoffmann and Andrew Sageman-Furnas.
De Martin Skrodzki
De Claire David
De Martin Traizet
De Alexander Bobenko
De Romain Dujardin
De Romain Dujardin
De Romain Dujardin
De Dalia Terhesiu
