Stationary and stable varifolds with singularities

Camillo De Lellis, Jonas Hirsch, Luca Spolaor

Published: 2025/9/25

Abstract

We construct minimal $m$-dimensional immersions in $\mathbb{R}^{m+1}$, equipped with a $C^{m-1, \alpha}$ metric, $\alpha\in [0,1)$, with a sequence of catenoidal necks or floating disks converging to an isolated, multiplicity $2$, singular flat point.

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