10 citations · 19 across the 9 of their papers we have counts for
10 papers
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…
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…
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…
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics
Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh +5
Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski3-space are both characterized as zero mean curvature surfaces. We are interested in the case where t…
Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space
Shoichi Fujimori, Wayne Rossman, Masaaki Umehara +2
We construct embedded triply periodic zero mean curvature surfaces of mixed type in the Lorentz-Minkowski 3-space with the same topology as the Schwarz D surface in the Euclidean 3…