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math.DG2019
A two-piece property for free boundary minimal surfaces in the ball
Vanderson Lima, Ana Menezes
We prove that every plane passing through the origin divides an embedded compact free boundary minimal surface of the euclidean -ball in exactly two connected surfaces. We also…
math.DG2019★ 2 cited
On the asymptotic Plateau problem for area minimizing surfaces in
Patrícia Klaser, Ana Menezes, Álvaro Ramos
We prove some existence and non-existence results for complete area minimizing surfaces in the homogeneous space . As one of our main results, we present sufficie…