4 papers
Weierstrass representations of discrete constant mean curvature surfaces in isotropic space
Joseph Cho, Masaya Hara
In this paper, we obtain Weierstrass representations for discrete constant mean curvature surfaces in isotropic 3-space, and use this to construct examples with discrete closed-for…
Zero mean curvature surfaces in isotropic space with planar curvature lines
Joseph Cho, Masaya Hara
We give a comprehensive account of zero mean curvature surfaces in isotropic 3-space with planar curvature lines. After giving a complete classification all such surfaces, we show…
Darboux transformations of spacelike curves in the Lorentz-Minkowski plane
Masaya Hara
This paper concerns (Lorentz-)Darboux transformations in the Lorentz-Minkowski plane . We use the Penrose diagram for conformal compactification and show some uni…
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…