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arXiv · 2609.31343

The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow

Jason D. Lotay·Goncalo Oliveira
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Abstract

We prove that at any nondegenerate neck pinch singularity of Lagrangian mean curvature flow of surfaces the mean curvature becomes unbounded, with control on the blow-up rate.

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Jason D. Lotay, Goncalo Oliveira. 2026-09-25. The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow. https://arxiv.org/abs/2609.31343

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