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Classification of negatively pinched manifolds with amenable fundamental groups

Igor Belegradek·Vitali Kapovitch
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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.

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Igor Belegradek, Vitali Kapovitch. 2004-02-17. Classification of negatively pinched manifolds with amenable fundamental groups. https://arxiv.org/abs/math/0402268

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