12 citations · 23 across the 10 of their papers we have counts for
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Minimal surfaces in a certain 3-dimensional homogeneous spacetime
Sungwook Lee
The 2-parameter family of certain homogeneous Lorentzian 3-manifolds which includes Minkowski 3-space, de Sitter 3-space, and Minkowski motion group is considered. Each homogeneous…
A Weierstrass type representation for minimal surfaces in Sol
Jun-ichi Inoguchi, Sungwook Lee
The normal Gauss map of a minimal surface in the model space Sol of solvegeometry is a harmonic map with respect to a certain singular Riemannian metric on the extended complex pla…
Weierstrass representation for timelike minimal surfaces in Minkowski 3-space
Sungwook Lee
Using techniques of integrable systems, we study a Weierstrass representation formula for timelike surfaces with prescribed mean curvature in Minkowski 3-space. It is shown that ti…
Timelike surfaces of constant mean curvature 1 in anti-de Sitter 3-space
Sungwook Lee
It is shown that timelike surfaces of constant mean curvature 1 in anti-de Sitter 3-space can be constructed from a pair of Lorentz holomorphic and Lorentz antiholomorphic null cur…