204 citations · 484 across the 66 of their papers we have counts for
68 papers
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-…
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.
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…
Discrete minimal nets with symmetries
Joseph Cho, Wayne Rossman, Seong-Deog Yang
In this paper, we extend the notion of Schwarz reflection principle for smooth minimal surfaces to the discrete analogues for minimal surfaces, and use it to create global examples…
Discrete mKdV equation via Darboux transformation
Joseph Cho, Wayne Rossman, Tomoya Seno
We introduce an efficient route to obtaining the discrete potential mKdV equation emerging from a particular discrete motion of discrete planar curves.
Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +4
We show that a certain simply-stated notion of "analytic completeness" of the image of a real analytic map implies the map admits no analytic extension. We also give a useful crite…