3‐Manifolds With Positive Scalar Curvature and Bounded Geometry
Abstract
ABSTRACT We show that a complete contractible 3‐manifold with positive scalar curvature and bounded geometry must be . We also show that an open handlebody of genus larger than 1 does not admit complete metrics with positive scalar curvature and bounded geometry. Our results rely on the maximal weak solution to inverse mean curvature flow due to the third‐named author.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Advanced Operator Algebra Research
Publication details
- Journal / source
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Volume
- 79
- Issue
- 5
- Pages
- 1299–1314
- Publication date
- 8 January 2026
- Language
- EN