Title$C^\infty$ rectifiability for stationary varifolds
Publication TypeJournal Article
Year of Publication2025
AuthorsBrena C, De Lellis C, Franceschini S
Type of Articlegeometric measure theory
Abstract

In this paper we prove that, for every integers $m\geq 2$ and $n\geq 1$, the support of any stationary $m$-dimensional integer rectifiable varifold $V$ in an open set $U\subset \mathbb R^{m+n}$ is $C^\infty$ rectifiable, namely it can be covered, up to an $\mathcal{H}^m$-null set, with countably many $C^\infty$ $m$-dimensional graphs.

Notes

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