A characterization of isometries of CAT(0)-space as maps preserving diagonal tube
| dc.creator | Andreev, Pavel | |
| dc.date | 2003-08-11 | |
| dc.date | 2004-01-16 | |
| dc.date.accessioned | 2026-07-07T05:00:18Z | |
| dc.date.available | 2026-07-07T05:00:18Z | |
| dc.description | We give positive answers for questions by Berestovskii. Namely, we prove that every bijection of locally compact geodesically complete and connected at infinity CAT(0)-space $X$ onto itself preserving some fixed distance or satellite relations is an isometry of this space. The proof of this theorem is based on another result stated by Berestovskii as a problem: the metric of the space $X$ may be recovered from its diagonal tube corresponding to an arbitrary number $r > 0$. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0308096 | |
| dc.identifier | http://arxiv.org/abs/math/0308096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68288 | |
| dc.subject | Geometric Topology | |
| dc.subject | Metric Geometry | |
| dc.subject | 53C23; 53C70 | |
| dc.title | A characterization of isometries of CAT(0)-space as maps preserving diagonal tube | |
| dc.type | text |