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pro vyhledávání: '"Stufflebeam, Hunter"'
Autor:
Stufflebeam, Hunter, Sweeney Jr, Paul
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 res
Externí odkaz:
http://arxiv.org/abs/2409.13646
Autor:
Máximo, Davi, Stufflebeam, Hunter
We prove that strictly convex 2-spheres, all of whose simple closed geodesics are close in length to 2{\pi}, are C^0 Cheeger-Gromov close to the round sphere.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2312.13995
Autor:
Stufflebeam, Hunter
Publikováno v:
Calc. Var. 62, 244 (2023)
We prove that topological disks with positive curvature and strictly convex boundary of large length are close to round spherical caps of constant boundary curvature in the Gromov-Hausdorff sense. This proves stability for a theorem of F. Hang and X.
Externí odkaz:
http://arxiv.org/abs/2301.13130