When can minimal hypersurfaces be connected by mean curvature flow?
Abstract
Abstract From the perspective of Morse theory, it is natural to investigate gradient flow trajectories between critical points. In this short note, we explore the minimal hypersurface analogue of this phenomenon and present examples that suggest additional topological and variational obstructions to the existence of connecting mean curvature flows.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Geometric and Algebraic Topology
Publication details
- Journal / source
- Mathematische Annalen
- Volume
- 395
- Issue
- 2
- Publication date
- 29 April 2026
- Language
- EN