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math.DG2024
Discrete constant mean curvature cylinders and isothermic tori
Joseph Cho, Katrin Leschke, Yuta Ogata
We consider the monodromy problem of Darboux transforms of discrete isothermic surfaces using the integrable theory of discrete polarised curves. Then we provide, for the first tim…
math.DG2023
Lie minimal Weingarten surfaces
Joseph Cho, Masaya Hara, Denis Polly +1
We consider Lie minimal surfaces, the critical points of the simplest Lie sphere invariant energy, in Riemannian space forms. These surfaces can be characterized via their Euler-La…
math.DG2014
Angle Bisectors of a Triangle in Lorentzian Plane
Joseph Cho
In Lorentzian geometry, limited definition of angles restricts the use of angle bisectors in study of triangles. This paper redefines angle bisectors so that they can be used to st…