3 papers
math.DG2026
A comment on full discretized isothermic tori in Euclidean spaces
K. Leschke, F. Pedit, W. Rossman
Using discretized orthogonal systems (curvature line systems) with periodicity, created using Darboux transformations and their permutability, we have discrete and semi-discrete k-…
math.DG2026
Special cases of the discretization principle via permutability
Joseph Cho, Mason Pember, Wayne Rossman
We show how permutability of transforms of smooth surfaces with particular characteristics leads to discrete surfaces with discrete analogues of the same characteristics.
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…