On the waist and width inequality in complete 3-manifolds with positive scalar curvature
Abstract
We show that a complete non-compact 3-manifold with scalar curvature bounded below by a positive constant admits a singular foliation by surfaces of controlled area and diameter.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Operator Algebra Research
Point processes and geometric inequalities
Publication details
- Journal / source
- Cambridge Journal of Mathematics
- Publisher
- International Press of Boston
- Volume
- 14
- Issue
- 2
- Pages
- 349–375
- Publication date
- 1 January 2026
- Language
- EN