English

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

Analysis of PDEs 2021-03-10 v1

Abstract

In this note we present a short alternative proof of an estimate obtained by A.B.-Mantel, C.B. Muratov and T.M. Simon in [3] regarding the rigidity of degree {±1\pm 1} conformal maps of S2\mathbb{S}^2, i.e. its M\"obius transformations.

Keywords

Cite

@article{arxiv.2103.05390,
  title  = {A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb{S}^2$},
  author = {Jonas Hirsch and Konstantinos Zemas},
  journal= {arXiv preprint arXiv:2103.05390},
  year   = {2021}
}

Comments

7 pages

R2 v1 2026-06-23T23:54:58.810Z