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math.DG2026
Tetrahedral points and classification of Almgren-minimizing sets in
Michele Caselli, Zachary Lihn
We prove that a two-dimensional Almgren-minimizing set in three dimensions which is sufficiently close in Hausdorff distance to a tetrahedral cone contains an interior tetrahedral…
math.DG2026
Another look at a notion of fractional mass in codimension two
Michele Caselli, Mattia Freguglia, Nicola Picenni
We study a notion of fractional -mass for codimension-two currents on closed Riemannian manifolds, defined via energy minimization with a prescribed Jacobian constraint. We prov…