English

Topological Rigidity and Positive scalar curvature

Differential Geometry 2022-07-29 v3 General Topology Geometric Topology

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 33-manifold with non-negative scalar curvature is homeomorphic to R3\mathbf{R}^3.

Keywords

Cite

@article{arxiv.2105.07095,
  title  = {Topological Rigidity and Positive scalar curvature},
  author = {Jian Wang},
  journal= {arXiv preprint arXiv:2105.07095},
  year   = {2022}
}

Comments

The proof of Lemma 7.8 is incomplete