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- W4366999628 abstract "We consider an area-minimizing integral current $T$ of codimension higher than $1$ in a smooth Riemannian manifold $Sigma$. In a previous paper we have subdivided the set of interior singular points with at least one flat tangent cone according to a real parameter, which we refer to as ``singularity degree''. This parameter determines the infinitesimal order of contact at the point in question between the ``singular part'' of $T$ and its ``best regular approximation''. In this paper we show that the set of points for which the singularity degree is strictly larger than $1$, is $(m-2)$-rectifiable. In a subsequent work we prove that the remaining flat singular points form an $(m-2)$-null set, thus concluding that the singular set of $T$ is $m-2$-rectifiable." @default.
- W4366999628 created "2023-04-27" @default.
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- W4366999628 date "2023-04-23" @default.
- W4366999628 modified "2023-09-27" @default.
- W4366999628 title "The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$" @default.
- W4366999628 doi "https://doi.org/10.48550/arxiv.2304.11555" @default.
- W4366999628 hasPublicationYear "2023" @default.
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