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Minimal Surfaces in $\mathbb{R}^4$ with Three Planar Ends I: Holomorphicity and Uniqueness
In this paper, we study complete minimal surfaces in $\mathbb{R}^4$ with three embedded planar ends parallel to those of the union of the Lagrangian catenoid and the plane containing its waist circle. We show that any complete, oriented, immersed minimal surface in $\mathbb{R}^4$ with finite total c
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