5 papers · 1 filter
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…
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…
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…
Spinor representation in isotropic 3-space via Laguerre geometry
Joseph Cho, Dami Lee, Wonjoo Lee +1
We give a detailed description of the geometry of isotropic space, in parallel to those of Euclidean space within the realm of Laguerre geometry. After developing basic surface the…
Björling problem for zero mean curvature surfaces in the three-dimensional light cone
Joseph Cho, So Young Kim, Dami Lee +2
We solve the Björling problem for zero mean curvature surfaces in the three-dimensional light cone. As an application, we construct and classify all rotational zero mean curvature…