Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.12498 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909129059074048 |
|---|---|
| author | Dymarz, Tullia Fisher, David Xie, Xiangdong |
| author_facet | Dymarz, Tullia Fisher, David Xie, Xiangdong |
| contents | In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space of distinct pairs is cocompact. Following the approach of Eskin-Fisher-Whyte these results have applications to quasi-isometric rigidity of certain solvable groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12498 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups Dymarz, Tullia Fisher, David Xie, Xiangdong Group Theory Complex Variables 20F65, 20F16, 30L10 In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space of distinct pairs is cocompact. Following the approach of Eskin-Fisher-Whyte these results have applications to quasi-isometric rigidity of certain solvable groups. |
| title | A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups |
| topic | Group Theory Complex Variables 20F65, 20F16, 30L10 |
| url | https://arxiv.org/abs/2304.12498 |