Year: 2021
Type: preprint
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 $\mathbf{R}^3$.
Source: arXiv (Cornell University)
Author: Wang, Jian
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3160900723