NONSIMPLE GEODESICS IN HYPERBOLIC 3-MANIFOLDS

被引：2
|
作者：
JONES, KN [1 ]
REID, AW [1 ]
机构：
[1] DEPT PURE MATH & MATH STAT, CAMBRIDGE, MA USA
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1994年 / 116卷
关键词：
D O I：
10.1017/S0305004100072625
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Chinburg and Reid have recently constructed examples of hyperbolic 3-manifolds in which every closed geodesic is simple. These examples are constructed in a highly non-generic way and it is of interest to understand 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.
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收藏
页码：339 / 351
页数：13
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