Calculus of Variations and Geometric Measure Theory

J. Hirsch - K. Zemas

A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb{S}^2$

created by zemas on 17 Sep 2022


Published Paper

Inserted: 17 sep 2022
Last Updated: 17 sep 2022

Journal: Bulletin of the London Mathematical Society
Volume: 54, Issue 1
Pages: 256-263
Year: 2022

ArXiv: 2103.05390 PDF


In this note, we present a short alternative proof of an estimate obtained by Mantel, Muratov and Simon in (Arch Rational Mech. Anal. 239 (2021), 219–299) regarding the rigidity of degree $\pm 1$ conformal maps of $\mathbb{S}^2$, that is, its Möbius transformations.