Width Stability of Rotationally Symmetric Metrics
Differential Geometry
2024-09-23 v1 Analysis of PDEs
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 .
Cite
@article{arxiv.2409.13646,
title = {Width Stability of Rotationally Symmetric Metrics},
author = {Hunter Stufflebeam and Paul Sweeney},
journal= {arXiv preprint arXiv:2409.13646},
year = {2024}
}
Comments
21 pages, 3 figures