A. Bobenko

collaborators

Showing math.DGShow all

2 papers · 1 filter

math.DG2024

Constant mean curvature surfaces from ring patterns: Geometry from combinatorics

Alexander I. Bobenko, Tim Hoffmann, Nina Smeenk

We define discrete constant mean curvature (cmc) surfaces in the three-dimensional Euclidean and Lorentz spaces in terms of sphere packings with orthogonally intersecting circles.…

math.DG2024

Minimal reflection surfaces in $S^{3} .$ Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons

Alexander I. Bobenko, Sebastian Heller, Nicolas Schmitt

We study compact minimal surfaces in the 3-sphere which are constructed by successive reflections from a minimal $n$ -gon -- so-called minimal reflection surfaces. The minimal $n$ -g…

Constant mean curvature surfaces from ring patterns: Geometry from combinatorics

Minimal reflection surfaces in S3. Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons

Minimal reflection surfaces in $S^{3} .$ Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons