Weak metrics on Euclidean domains
| dc.creator | Papadopoulos, Athanase | |
| dc.creator | Troyanov, Marc | |
| dc.date | 2006-09-08 | |
| dc.date.accessioned | 2026-07-07T09:30:11Z | |
| dc.date.available | 2026-07-07T09:30:11Z | |
| dc.description | A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. In the present paper we introduced a weak metric, called the Apollonian weak metric, on any subset of a Euclidean space which is either bounded or whose boundary is unbounded. We then relate this weak metric to some familiar metrics such as the Poincare metric, the Klein-Hilbert metric, Funk metric, and the part metric which play an important role in classic and recent work on geometric function theory. | |
| dc.identifier | https://arxiv.org/abs/math/0609236 | |
| dc.identifier | http://arxiv.org/abs/math/0609236 | |
| dc.identifier | JP Journal of Geometry and Topology, vol. 7, num. 1, 2007, p. 23 - 44 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158047 | |
| dc.subject | Metric Geometry | |
| dc.subject | 30F45; 51M15; 51K99 | |
| dc.title | Weak metrics on Euclidean domains | |
| dc.type | text |