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math.DG2023
Existence of closed embedded curves of constant curvature via min-max
Lorenzo Sarnataro, Douglas Stryker
We find conditions under which Almgren-Pitts min-max for the prescribed geodesic curvature functional in a closed oriented Riemannian surface produces a closed embedded curve of co…
math.DG2023
Optimal regularity for minimizers of the prescribed mean curvature functional over isotopies
Lorenzo Sarnataro, Douglas Stryker
We prove the optimal regularity for minimizers of the prescribed mean curvature functional over isotopy classes. As an application, we find an embedded sphere of prescrib…