Abstract
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalises the main result of the fourth author [Mar12] in the compact case. The proof uses Ricci flow with surgery as well as arguments involving performing infinite connected sums with control on the geometry.
Original language | English (US) |
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Pages (from-to) | 153-184 |
Number of pages | 32 |
Journal | Journal of the European Mathematical Society |
Volume | 23 |
Issue number | 1 |
DOIs | |
State | Published - 2021 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- 3-manifolds
- Open manifolds
- Ricci flow
- Scalar curvature