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math.DG2024
Free boundary minimal Möbius bands in toroids
Mario B. Schulz
We prove that strictly mean convex toroids contain infinitely many (geometrically distinct) embedded free boundary minimal Möbius bands as well as infinitely many embedded free bo…
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…
math.DG2024
Equivariant free boundary minimal discs and annuli in ellipsoids
Mario B. Schulz
We employ equivariant variational methods to construct new examples of nonplanar free boundary minimal discs in ellipsoids. We also prove that every ellipsoid contains at least thr…