Classification of negatively pinched manifolds with amenable fundamental groups

Details Classification of negatively pinched manifolds with amenable fundamental groups Classification of negatively pinched manifolds with amenable fundamental groups

2004-02-17

arxiv.org/abs/math/0402268v4

Mathematics

Differential Geometry

formula corrected, see page 24

Scientific paper

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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