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arXiv · 2105.07095

Topological Rigidity and Positive scalar curvature

Jian Wang
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Abstract

In this paper, we study the topological rigidity and its relationship with the positivity of scalar curvature. Precisely, we show that any complete contractible $3$-manifold with non-negative scalar curvature is homeomorphic to $\mathbf{R}^3$.

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Jian Wang. 2021-05-14. Topological Rigidity and Positive scalar curvature. https://arxiv.org/abs/2105.07095

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