Manifolds without real projective or flat conformal structures
Differential Geometry
2023-06-21 v1 Group Theory
Geometric Topology
Abstract
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.
Cite
@article{arxiv.2206.07206,
title = {Manifolds without real projective or flat conformal structures},
author = {Lorenzo Ruffoni},
journal= {arXiv preprint arXiv:2206.07206},
year = {2023}
}
Comments
10 pages, 2 figures, comments welcome