Bi-Lipschitz rigidity for $L^2$-almost CMC surfaces
Differential Geometry
2022-12-07 v1 Analysis of PDEs
Abstract
For smooth surfaces properly immersed in the unit ball of with density close to one and small Willmore energy, the optimal a priori estimate(bi-Lipschitz and parametrization)is provided. We also discuss the quantitative rigidity for -almost CMC surfaces.
Keywords
Cite
@article{arxiv.2212.02946,
title = {Bi-Lipschitz rigidity for $L^2$-almost CMC surfaces},
author = {Yuchen Bi and Jie Zhou},
journal= {arXiv preprint arXiv:2212.02946},
year = {2022}
}
Comments
28 pages, 1 figurs