Topological mixing in -spaces |
| |
Authors: | Charalambos Charitos Georgios Tsapogas |
| |
Institution: | Department of Mathematics, Agricultural University of Athens, 75 Iera Odos, Athens, Greece ; Department of Mathematics, University of The Aegean, Karlovassi, Samos 83200, Greece |
| |
Abstract: | If is a proper -space and a non-elementary discrete group of isometries acting properly discontinuously on it is shown that the geodesic flow on the quotient space is topologically mixing, provided that the generalized Busemann function has zeros on the boundary and the non-wandering set of the flow equals the whole quotient space of geodesics (the latter being redundant when is compact). Applications include the proof of topological mixing for (A) compact negatively curved polyhedra, (B) compact quotients of proper geodesically complete -spaces by a one-ended group of isometries and (C) finite -dimensional ideal polyhedra. |
| |
Keywords: | $CAT\left( -1\right)$-space mixing geodesic flow negatively curved polyhedra |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 |