Curvature Free Rigidity for Higher Rank Three-Manifolds

2016/08/16 by Samuel Lin, Lin, Samuel
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/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.

Related

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• Toward the profinite rigidity of hyperbolic 3-manifolds
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