Contractible $3$-manifold and Positive scalar curvature (I)

Jian Wang

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arXiv · 1901.04605

Contractible $3$-manifold and Positive scalar curvature (I)

Jian Wang

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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 $3$-manifold admits a complete metric of positive scalar curvature.

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Jian Wang. 2019-01-14. Contractible $3$-manifold and Positive scalar curvature (I). https://arxiv.org/abs/1901.04605

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