Abstract
In this work we prove that the Whitehead manifold has no complete metric of non-negative scalar curvature. This result can be generalized to the genus one case. Precisely, we show that no contractible genus one 3-manifold admits a complete metric of non-negaitve scalar curvature.
Citation
Jian Wang. "Contractible 3-manifold and Positive scalar curvature (I)." J. Differential Geom. 127 (3) 1267 - 1304, July 2024. https://doi.org/10.4310/jdg/1721071503
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