Contractible 3-manifolds and positive scalar curvature (II)
Jian Wang
Stony Brook University, USA
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Abstract
In this article, we are interested in the question whether any complete contractible 3- manifold of positive scalar curvature is homeomorphic to . We study the fundamental group at infinity, , and its relationship to the existence of complete metrics of positive scalar curvature. We prove that a complete contractible 3-manifold with positive scalar curvature and trivial 1 is homeomorphic to .
Cite this article
Jian Wang, Contractible 3-manifolds and positive scalar curvature (II). J. Eur. Math. Soc. 26 (2024), no. 2, pp. 537–572
DOI 10.4171/JEMS/1366