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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
33/2004

Geometric Rigidity of Conformal Matrices

Daniel Faraco and Xiao Zhong

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.

Received:
Jun 1, 2004
Published:
Jun 1, 2004
MSC Codes:
30C65, 49J45, 74K
Keywords:
rigidity, moebius transforms

Related publications

inJournal
2005 Repository Open Access
Daniel Faraco and Xiao Zhong

Geometric rigidity of conformal matrices

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 4 (2005) 4, pp. 557-585