Michele Caselli

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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 $s$ -mass for codimension-two currents on closed Riemannian manifolds, defined via energy minimization with a prescribed Jacobian constraint. We prov…

math.DG2025

A nonlocal approximation of the area in codimension two

Michele Caselli, Mattia Freguglia, Nicola Picenni

For $s \in (0, 1)$ we introduce a notion of fractional $s$ -mass on $(n - 2)$ -dimensional closed, orientable surfaces in $R^{n}$ . Moreover, we prove its $I^$ -convergence, with respect to…