The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and ${\mathcal{H}}^{m-2}$-a.e. Uniqueness of Tangent Cones

Camillo De Lellis, Paul Minter, Anna Skorobogatova

We consider an area-minimizing integral current $T$ of codimension higher than 1 ins a smooth Riemannian manifold $\Sigma$. We prove that $T$ has a unique tangent cone, which is a super…