Geometric rigidity of conformal matrices

Faraco, Daniel; Zhong, Xiao

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 557-585.

We provide a geometric rigidity estimate à la Friesecke-James-Müller for conformal matrices. Namely, we replace $\mathrm{SO}\left(n\right)$ by an arbitrary compact set of conformal matrices, bounded away from $0$ and invariant under $\mathrm{SO}\left(n\right)$, and rigid motions by Möbius transformations.

Classification : 30C65, 49J45

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