3 papers
math.DG2026
Bernstein-type Theorems for constant mean curvature surfaces in the three-dimensional light cone
Shintaro Akamine, Wonjoo Lee, Seong-Deog Yang
We establish Bernstein-type theorems for entire constant mean curvature graphs in the three-dimensional light cone over the horosphere under the assumption that th…
math.DG2025
Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space
Shintaro Akamine, Wonjoo Lee, Seong-Deog Yang
There are many non-trivial entire spacelike graphs with constant mean curvature (CMC , for short) in the isotropic 3-space . In this paper, we show a value dis…
math.DG2025
Ruled zero mean curvature surfaces in the three-dimensional light cone
Joseph Cho, Dami Lee, Wonjoo Lee +1
We obtain a complete classification of ruled zero mean curvature surfaces in the three-dimensional light cone. En route, we examine geodesics and screw motions in the space form, a…