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arXiv · 2409.13646

Width Stability of Rotationally Symmetric Metrics

Hunter Stufflebeam·Paul Sweeney Jr
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Abstract

We prove a conjecture of Marques-Neves in arXiv:2103.10093, and several alternative formulations thereof, about the stability of the min-max width of three-spheres under the additional assumption of rotational symmetry. We can moreover extend our results to all dimensions $n\geqslant 3$.

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Hunter Stufflebeam, Paul Sweeney Jr. 2024-09-20. Width Stability of Rotationally Symmetric Metrics. https://arxiv.org/abs/2409.13646

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