In this paper we show that, if T is an area-minimizing 2-dimensional integral current with partial differential T = Q[Gamma], where Gamma is a C1,alpha curve for alpha > 0 and Q an arbitrary integer, then T has a unique tangent cone at every boundary point, with a polynomial convergence rate. The proof is a simple reduction to the case Q = 1, studied by Hirsch and Marini (2019
Uniqueness of boundary tangent cones for 2-dimensional area-minimizing currents
De Lellis, C.;
2023-01-01
Abstract
In this paper we show that, if T is an area-minimizing 2-dimensional integral current with partial differential T = Q[Gamma], where Gamma is a C1,alpha curve for alpha > 0 and Q an arbitrary integer, then T has a unique tangent cone at every boundary point, with a polynomial convergence rate. The proof is a simple reduction to the case Q = 1, studied by Hirsch and Marini (2019File in questo prodotto:
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