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20192026
most citedFree boundary minimal surfaces with connected boundary and arbitrary genus

23 citations · 24 across the 8 of their papers we have counts for

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math.DG2024

Unknottedness of free boundary minimal surfaces and self-shrinkers

Sabine Chu, Giada Franz

We study unknottedness for free boundary minimal surfaces in a three-dimensional Riemannian manifold with nonnegative Ricci curvature and strictly convex boundary, and for self-shr…

math.DG2024

Genus one critical catenoid

Giada Franz, Daniel Ketover, Mario B. Schulz

We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingre…