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.

引用

页码：393 / 416

页数：23