Title | $C^\infty$ rectifiability for stationary varifolds |
Publication Type | Journal Article |
Year of Publication | 2025 |
Authors | Brena C, De Lellis C, Franceschini S |
Type of Article | geometric 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 | Preprint |
Order:
16