Curvature Free Rigidity for Higher Rank Three-Manifolds
arXiv:1608.04810
Abstract
We prove two rigidity results for complete Riemannian three-manifolds of higher rank. Complete three-manifolds have higher spherical rank if an only if they are spherical space forms. Complete finite volume three-manifolds have higher hyperbolic rank if and only if they are hyperbolic space forms.
26 pages