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math.DG2023
On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit -ball
Peter McGrath, Jiahua Zou
We prove that the area of each nonflat genus zero free boundary minimal surface embedded in the unit -ball is less than the area of its radial projection to . The…
math.DG2021
Free Boundary Minimal surfaces in the Euclidean Three-Ball close to the boundary
Nikolaos Kapouleas, Jiahua Zou
We construct free boundary minimal surfaces (FBMS) embedded in the unit ball in the Euclidean three-space which are compact, lie arbitrarily close to the boundary unit sphere, are…