Stability estimates for the conformal group of ${\mathbb{S}}^{n-1}$ in dimension $n\ge 3$

Stephan Luckhaus, Konstantinos Zemas

The purpose of this paper is to exhibit a quantitative stability result for the class of Möbius transformations of ${\mathbb{S}}^{n-1}$ when $n\ge 3$. The main estimate is of local…