Ancient Ricci flows of bounded girth
Abstract
For each $n\ge 3$, we construct a 'pancake-like', $O(2)\times O(n-1)$-invariant ancient Ricci flow with positive curvature operator and bounded "girth", and we determine its asymptotic limits backwards in time. This solution is new even in dimension three. The construction hinges on the Ricci flow invariance of certain conditions on the curvature and its spatial derivatives under this symmetry regime, whose proof does not follow from Hamilton's tensor maximum principle.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Advanced Neuroimaging Techniques and Applications
Publication details
- Journal / source
- Orbita Mathematicae
- Volume
- 3
- Issue
- 2
- Pages
- 185–213
- Publication date
- 15 May 2026
- Language
- EN