Quasi-isometries preserve the geometric decomposition of Haken manifolds

被引：0
|
作者：
Michael Kapovich
Bernhard Leeb
机构：
[1] Department of Mathematics,
[2] University of Utah,undefined
[3] Salt Lake City,undefined
[4] UT 84112,undefined
[5] USA (e-mail: kapovich@math.utah.edu),undefined
[6] Mathematisches Institut,undefined
[7] Universität Bonn,undefined
[8] Beringstr. 1,undefined
[9] D-53115 Bonn,undefined
[10] Germany (e-mail: leeb@rhein.iam.uni-bonn.de),undefined
来源：
Inventiones mathematicae | 1997年 / 128卷
关键词：
Manifold; Fundamental Group; Universal Cover; Euler Characteristic; Finite Extension;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove quasi-isometry invariance of the canonical decomposition for fundamental groups of Haken 3-manifolds with zero Euler characteristic. We show that groups quasi-isometric to Haken manifold groups with nontrivial canonical decomposition are finite extensions of Haken orbifold groups. As a by-product we describe all 2-dimensional quasi-flats in the universal covers of non-geometric Haken manifolds.
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页码：393 / 416
页数：23
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