Geometric Rigidity of Conformal Matrices

Daniel Faraco and Xiao Zhong

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Submission date: 01. Jun. 2004
Pages: 32
published in: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 4 (2005) 4, p. 557-585 
Bibtex
MSC-Numbers: 30C65, 49J45, 74K
Keywords and phrases: rigidity, moebius transforms
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Abstract:
We provide a geometric rigidity estimate à la Friesecke-James-Müller for conformal matrices. Namely, we replace SO(n) by an arbitrary compact subset of conformal matrices, bounded away from 0 and invariant under SO(n), and rigid motions by Möbius transformations.