Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension

In this work we prove a sharp quantitative form of Liouville’s theorem, which asserts that, for all n ≥ 3 n\geq 3 , the weakly conformal maps of S n − 1 \mathbb S^{n-1} with degree ± 1 \pm 1 are Möbius transformations. In the case n = 3 n=3 this estimate was first obtained by Bernand-Mantel, Muratov...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2024-12
Hauptverfasser:	Guerra, André, Lamy, Xavier, Zemas, Konstantinos
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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