On hyperbolic groups with spheres as boundary

Arthur Bartels, Wolfgang Lück, Shmuel Weinberger
2010 Journal of differential geometry  
Let G be a torsion-free hyperbolic group and let n ≥ 6 be an integer. We prove that G is the fundamental group of a closed aspherical manifold if the boundary of G is homeomorphic to an (n − 1)-dimensional sphere.
doi:10.4310/jdg/1299766682 fatcat:m5buh2m5grdgnazn2ey2fdglmi