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arXiv · 1608.04810

Curvature Free Rigidity for Higher Rank Three-Manifolds

Samuel Lin
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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.

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Samuel Lin. 2016-08-16. Curvature Free Rigidity for Higher Rank Three-Manifolds. https://arxiv.org/abs/1608.04810

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