| dc.contributor.author |
Charitos, C |
en |
| dc.contributor.author |
Tsapogas, G |
en |
| dc.date.accessioned |
2014-06-06T06:44:29Z |
|
| dc.date.available |
2014-06-06T06:44:29Z |
|
| dc.date.issued |
2001 |
en |
| dc.identifier.issn |
0002-9947 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/1902 |
|
| dc.subject |
CAT (-1)-space |
en |
| dc.subject |
mixing |
en |
| dc.subject |
geodesic flow |
en |
| dc.subject |
negatively curved polyhedra |
en |
| dc.subject.classification |
Mathematics |
en |
| dc.subject.other |
IDEAL POLYHEDRA |
en |
| dc.subject.other |
GEODESICS |
en |
| dc.subject.other |
SPACES |
en |
| dc.title |
Topological mixing in CAT (-1)-spaces |
en |
| heal.type |
journalArticle |
en |
| heal.language |
English |
en |
| heal.publicationDate |
2001 |
en |
| heal.abstract |
If X is a proper CAT (-1)-space and Gamma a non-elementary discrete group of isometries acting properly discontinuously on X; it is shown that the geodesic ow on the quotient space Y = X/Gamma is topologically mixing, provided that the generalized Busemann function has zeros on the boundary partial derivativeX and the non-wandering set of the ow equals the whole quotient space of geodesics GY := GX/Gamma (the latter being redundant when Y is compact). Applications include the proof of topological mixing for (A) compact negatively curved polyhedra, (B) compact quotients of proper geodesically complete CAT (-1)-spaces by a one-ended group of isometries and (C) finite n-dimensional ideal polyhedra. |
en |
| heal.publisher |
AMER MATHEMATICAL SOC |
en |
| heal.journalName |
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
en |
| dc.identifier.issue |
1 |
en |
| dc.identifier.volume |
354 |
en |
| dc.identifier.isi |
ISI:000171236000012 |
en |
| dc.identifier.spage |
235 |
en |
| dc.identifier.epage |
264 |
en |