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arXiv · 2509.21508

Stationary and stable varifolds with singularities

Camillo De Lellis·Jonas Hirsch·Luca Spolaor
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Abstract

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

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Camillo De Lellis, Jonas Hirsch, Luca Spolaor. 2025-09-25. Stationary and stable varifolds with singularities. https://arxiv.org/abs/2509.21508

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