Interplay between interior and boundary geometry in Gromov hyperbolic spaces (Q605068)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Interplay between interior and boundary geometry in Gromov hyperbolic spaces |
scientific article; zbMATH DE number 5818363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interplay between interior and boundary geometry in Gromov hyperbolic spaces |
scientific article; zbMATH DE number 5818363 |
Statements
Interplay between interior and boundary geometry in Gromov hyperbolic spaces (English)
0 references
23 November 2010
0 references
The author shows that two visual and geodesic Gromov hyperbolic metric spaces are roughly isometric if and only if their boundaries at infinity, equipped with suitable quasimetrics, are bi-Lipschitz quasi-Möbius equivalent. This result can be regarded as an extension theorem for bi-Lipschitz mappings.
0 references
hyperbolic spaces
0 references
boundary at infinity
0 references
quasimetric
0 references
quasi-Möbius maps
0 references
0 references
0.8905515
0 references
0.89042175
0 references
0.8848589
0 references
0.8846978
0 references
0.88153374
0 references
0 references
0.8785783
0 references
