Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Jian Wang
Affiliation:

MPIM
Date:

Thu, 17/06/2021 - 16:30 - 18:00 The topological structure of contractible 3-manifolds is much complicated. For example, the Whitehead manifold is a contractible 3-manifold but not homeomorphic to $\mathbf{R}3$. In the talk, we will use minimal surfaces theory to present a proof that the Whitehead manifold has no complete metric with positive scalar curvature. Further, we show that a complete contractible 3-manifold with positive scalar curvature is homeomorphic to $\mathbf{R} 3$.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3050