Width Stability of Rotationally Symmetric Metrics

Published 20 Sep 2024 in math.DG and math.AP | (2409.13646v1)

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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