ROBUST QUASI-ISOMETRIC EMBEDDINGS INAPPROXIMABLE BY ANOSOV REPRESENTATIONS
Abstract
Let K=R or C. For all but finitely many m∈N, we exhibit the first examples of nonlocally rigid, Zariski-dense, robust quasi-isometric embeddings of hyperbolic groups in SLm(K) which are not limits of Anosov representations. As a consequence, we show that higher-rank analogues of Sullivan’s structural stabilty theorem and of the density theorem for Kleinian groups fail for Anosov representations in SLm(C),m≥30.
Fields of Study & Subjects
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Duke Mathematical Journal
- Publisher
- Duke University Press
- Volume
- 175
- Issue
- 11
- Pages
- 1931–1956
- Publication date
- 31 July 2026
- Language
- EN