Contractible $3$-manifold and Positive scalar curvature (I)
Differential Geometry
2023-03-14 v4
Abstract
In this work we prove that the Whitehead manifold has no complete metric of positive scalar curvature. This result can be generalized to the genus one case. Precisely, we show that no contractible genus one -manifold admits a complete metric of positive scalar curvature.
Keywords
Cite
@article{arxiv.1901.04605,
title = {Contractible $3$-manifold and Positive scalar curvature (I)},
author = {Jian Wang},
journal= {arXiv preprint arXiv:1901.04605},
year = {2023}
}
Comments
36 pages, 4 figures, Accepted by JDG