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math.DG2022
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…
math.DG2022
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…