论文标题
Anosov表示不适合对象的准时嵌入
Quasi-isometric embeddings inapproximable by Anosov representations
论文作者
论文摘要
我们将单词双曲线组的准静电嵌入示例构建为$ \ Mathsf {sl}（d，d，\ Mathbb {r}）$，对于$ d \ geqslant 5 $，这不是AnoSov表示的限制，而不是$ \ m athsf {slsf {slsf {sl}（d，d，\ m mathbbbb {r r}）$。结果，我们得出的结论是，$ \ mathsf {psl}（2，\ mathbb {c}）$的密度定理的类似于$ \ mathsf {slsf {sl}（d，\ mathbb {r}）$时，当$ d \ d \ d \ geqqslant 5 $时不满。
We construct examples of quasi-isometric embeddings of word hyperbolic groups into $\mathsf{SL}(d,\mathbb{R})$ for $d \geqslant 5$ which are not limits of Anosov representations into $\mathsf{SL}(d,\mathbb{R})$. As a consequence, we conclude that an analogue of the density theorem for $\mathsf{PSL}(2,\mathbb{C})$ does not hold for $\mathsf{SL}(d,\mathbb{R})$ when $d \geqslant 5$.
