The systole of large genus minimal surfaces in positive Ricci curvature
We use Colding-Minicozzi lamination theory to show that the systole, and more generally any homology systole, of a sequence of embedded minimal surfaces in an ambient three-manifold of positive Ricci curvature tends to zero as the genus becomes unbounded.53A10
Authors
- Henrik Matthiesen (ORCID: https://orcid.org/0000-0002-2308-9744)
- Anna Siffert
Institutions
- University of Münster (DE)
- Max Planck Institute for Mathematics (DE)
Publication Details
- Journal
- Geometry & Topology
- Published
- 2025-06-27
- DOI
- https://doi.org/10.2140/gt.2025.29.1819
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00