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arxiv: 1608.04810 · v1 · pith:NBMTT3QYnew · submitted 2016-08-16 · 🧮 math.DG

Curvature Free Rigidity for Higher Rank Three-Manifolds

classification 🧮 math.DG
keywords higherrankthree-manifoldscompleteformshyperboliconlyrigidity
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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.

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