Classification of negatively pinched manifolds with amenable fundamental groups
Differential Geometry
2010-08-31 v4
Abstract
We give a diffeomorphism classification of pinched negatively curved manifolds with amenable fundamental groups, namely, they are precisely the M\"obius band, and the products of a line with the total spaces of flat vector bundles over closed infranilmanifolds.
Cite
@article{arxiv.math/0402268,
title = {Classification of negatively pinched manifolds with amenable fundamental groups},
author = {Igor Belegradek and Vitali Kapovitch},
journal= {arXiv preprint arXiv:math/0402268},
year = {2010}
}
Comments
formula corrected, see page 24