Open AccessClassification of negatively pinched manifolds with amenable fundamental groups
Author(s) -
Igor Belegradek,
Vitali Kapovitch
Publication year - 2006
Publication title -
acta mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.185
H-Index - 76
eISSN - 1871-2509
pISSN - 0001-5962
DOI - 10.1007/s11511-006-0005-5
Subject(s) - mathematics , diffeomorphism , pure mathematics , vector bundle , manifold (fluid mechanics) , fundamental group , mathematical analysis , mechanical engineering , engineering
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.
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