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Curvature Free Rigidity for Higher Rank Three-Manifolds

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.

preprint2016arXivOpen access
Samuel Lin
math.DG
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Samuel Lin

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