1 citations · 3 across the 8 of their papers we have counts for
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Marginally trapped surfaces in and three Weierstrass representations
Hojoo Lee
We construct new integrable systems to present Weierstrass type representations for spacelike surfaces whose mean curvature vector satisfies the null condition $\langl…
Length-minimizing level curves via calibrations
Kwok-Kun Kwong, Hojoo Lee
We present an elementary criterion to show the length-minimizing property of geodesics for a large class of conformal metrics. In particular, we prove the length-minimizing propert…
Higher order Wirtinger-type inequalities and sharp bounds for the isoperimetric deficit
Kwok-Kun Kwong, Hojoo Lee
Using Fourier analysis, we derive Wirtinger-type inequalities of arbitrary high order. As applications, we prove various sharp geometric inequalities for closed curves on the Eucli…
Uniqueness of minimal surfaces, Jacobi fields, and flat structures
Hojoo Lee
Inspired by the Finn-Osserman (1964), Chern (1969), do Carmo-Peng (1979) proofs of the Bernstein theorem, which characterizes flat planes as the only entire minimal graphs, we prov…
Two flat structures on minimal surfaces
Hojoo Lee
In this expository article, we illustrate how two independent flat structures on minimal surfaces induce a harmonic function, which captures the uniqueness of Enneper's surface.
A one-sentence proof of the Bernstein type theorem for special Lagrangian equation in two dimensions
Hojoo Lee
The aim of this expository article is to reveal the equivalence of Jörgens' Theorem on the two dimensional unimodular Hessian equation and Fu's Theorem on the two dimensional speci…