Stephen Lynch

collaborators

2 papers

math.DG2023

Plateau's problem via the Allen--Cahn functional

Marco A. M. Guaraco, Stephen Lynch

Let $Γ$ be a compact codimension-two submanifold of $R^{n}$ , and let $L$ be a nontrivial real line bundle over $X = R^{n} ∖ Γ$ . We study the Allen--Cahn funct…

math.DG2022

Hamilton's Theorem (on the compactness of pinched hypersurfaces) via mean curvature flow

Theodora Bourni, Mat Langford, Stephen Lynch

We make rigorous an old idea of using mean curvature flow to prove a theorem of Richard Hamilton on the compactness of proper hypersurfaces with pinched, bounded curvature.