Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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L. Ruffoni

Manifolds without real projective or flat conformal structures

created by ruffoni on 06 Nov 2022
modified on 27 Jul 2023


Published Paper

Inserted: 6 nov 2022
Last Updated: 27 jul 2023

Journal: Proceedings of the American Mathematical Society
Year: 2022

ArXiv: 2206.07206 PDF


In any dimension at least five we construct examples of closed smooth manifolds with the following properties: 1) they have neither real projective nor flat conformal structures; 2) their fundamental group is a non-elementary Gromov hyperbolic group. These examples are obtained via relative strict hyperbolization.

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