3 papers
math.DG2026
CmcMesh: a python implementation of the DPW method
Thomas Raujouan, Martin Traizet
Minimal and constant mean curvature (CMC) surfaces in three-dimensional space forms can be constructed with the Dorfmeister--Pedit--Wu (DPW) method. We introduce CmcMesh, a Python…
math.DG2026
Constant curvature rotational nets and periodic Bäcklund transforms
Thomas Raujouan, Wayne Rossman, Naoya Suda
After giving explicit parametrizations of discrete constant negative Gaussian curvature surfaces (negative CGC, i.e. discrete pseudospherical surfaces) of revolution, we construct…
math.DG2024
Loop Weierstrass Representation
Thomas Raujouan, Nick Schmitt, Jonas Ziefle
We introduce the Loop Weierstrass Representation for minimal surfaces in Euclidean space and constant mean curvature 1 surfaces in hyperbolic space by applying integral system meth…