Classification of negatively pinched manifolds with amenable fundamental groups |
| |
| Authors: | Igor Belegradek Vitali Kapovitch |
| |
| Affiliation: | (1) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA;(2) Department of Mathematics, University of Maryland, College Park, MD 20742, USA |
| |
| Abstract: | We give a diffeomorphism classification of pinched negatively curved manifolds with amenable fundamental groups, namely, they are precisely the Möbius band, and the products of R with the total spaces of flat vector bundles over closed infranilmanifolds. |
| |
| Keywords: | collapsing horosphere infranilmanifold negative curvature nilpotent parabolic group |
| 本文献已被 SpringerLink 等数据库收录！ |
|
