| dc.contributor.author |
Charitos, C |
en |
| dc.contributor.author |
Tsapogas, G |
en |
| dc.date.accessioned |
2014-06-06T06:44:51Z |
|
| dc.date.available |
2014-06-06T06:44:51Z |
|
| dc.date.issued |
2002 |
en |
| dc.identifier.issn |
00029947 |
en |
| dc.identifier.uri |
http://dx.doi.org/10.1090/S0002-9947-01-02862-8 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/2099 |
|
| dc.subject |
CAT (-1)-space |
en |
| dc.subject |
Geodesic flow |
en |
| dc.subject |
Mixing |
en |
| dc.subject |
Negatively curved polyhedra |
en |
| dc.title |
Topological mixing in CAT (-1)-spaces |
en |
| heal.type |
journalArticle |
en |
| heal.identifier.primary |
10.1090/S0002-9947-01-02862-8 |
en |
| heal.publicationDate |
2002 |
en |
| heal.abstract |
If X is a proper CAT (-1)-space and Γ a non-elementary discrete group of isometries acting properly discontinuously on X, it is shown that the geodesic flow on the quotient space Y = X/Γ is topologically mixing, provided that the generalized Busemann function has zeros on the boundary ∂X and the non-wandering set of the flow equals the whole quotient space of geodesics GY := GX/Γ (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.journalName |
Transactions of the American Mathematical Society |
en |
| dc.identifier.issue |
1 |
en |
| dc.identifier.volume |
354 |
en |
| dc.identifier.doi |
10.1090/S0002-9947-01-02862-8 |
en |
| dc.identifier.spage |
235 |
en |
| dc.identifier.epage |
264 |
en |