NONSIMPLE GEODESICS IN HYPERBOLIC 3-MANIFOLDS

Authors
JONES KN REID AW
Citation
Kn. Jones et Aw. Reid, NONSIMPLE GEODESICS IN HYPERBOLIC 3-MANIFOLDS, Mathematical proceedings of the Cambridge Philosophical Society, 116, 1994, pp. 339-351
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
116
Year of publication
1994
Part
2
Pages
339 - 351
Database
ISI
SICI code
0305-0041(1994)116:<339:NGIH3>2.0.ZU;2-D
Abstract
Chinburg and Reid have recently constructed examples of hyperbolic 3-m anifolds in which every closed geodesic is simple. These examples are constructed in a highly non-generic way and it is of interest to under stand in the general case the geometry of and structure of the set of closed geodesics in hyperbolic 3-manifolds. For hyperbolic 3-manifolds which contain immersed totally geodesic surfaces there are always non -simple closed geodesics. Here we construct examples of manifolds with non-simple closed geodesics and no totally geodesic surfaces.