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.
Citation
Igor Belegradek. Vitali Kapovitch. "Classification of negatively pinched manifolds with amenable fundamental groups." Acta Math. 196 (2) 229 - 260, 2006. https://doi.org/10.1007/s11511-006-0005-5
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