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math.DG2025
Almgren's Three-Legged Starfish
Christos Mantoulidis, Jared Marx-Kuo
In this note we use classical tools from min-max and hyperbolic geometry to substantiate a folklore example in Almgren--Pitts min-max theory, the three-legged starfish metric on a…
math.DG2025
The p-widths of
Jared Marx-Kuo
We compute the p-widths, , for the real projective plane with the standard metric.
math.DG2025
Infinitely Many Surfaces with Prescribed Mean Curvature in the Presence of a Strictly Stable Minimal Surface
Pedro Gaspar, Jared Marx-Kuo
We construct infinitely many distinct hypersurfaces with prescribed mean curvature (PMC) for a large class of prescribing functions when is a closed smooth manifold…