Title: Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree Authors: Melanie Rupflin Categories: math.AP math.DG MSC-class: 53C43, 58E20, 30C70, 26D10, \\ As the energy of any map $v$ from $S^2$ to $S^2$ is at least $4\pi \vert deg(v)\vert$ with equality if and only if $v$ is a rational map one might ask whether maps with small energy defect $\delta_v=E(v)-4\pi \vert deg(v)\vert$ are necessarily close to a rational map. While such a rigidity statement turns out … Continue reading “Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree”
Author Van Abel Posted on May 30, 2023Categories ArXiv Leave a comment on Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree