Affiliation:
1. Department of Mathematics Rice University Houston Texas USA
Abstract
AbstractWe show that recent work of Song implies that torsion‐free hyperbolic groups with Gromov boundary arerealized as fundamental groups of closed 3‐manifolds of constant negative curvature if and only if the solution to an associated spherical Plateau problem for group homology is isometric to such a 3‐manifold, and suggest some related questions.
Funder
National Science Foundation