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arXiv · 2409.20327

Minimal submanifolds with multiple isolated singularities

Bryan Dimler
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Abstract

We extend Smale's singular bridge principle [Ann. of Math. 130 (1989), 603-642] for $n$-dimensional strictly stable minimal cones in $\mathbb{R}^{n+1}$ $(n \geq 7$) to arbitrary codimension and each $n \geq 3$. We then apply the procedure to copies of the Lawson-Osserman cone to produce a four dimensional minimal graph in $\mathbb{R}^7$ with any finite number of isolated singularities.

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Bryan Dimler. 2024-09-30. Minimal submanifolds with multiple isolated singularities. https://arxiv.org/abs/2409.20327

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