The systole of large genus minimal surfaces in positive Ricci curvature
Henrik Matthiesen, Anna Siffert
TL;DR
This paper investigates the systole of large genus minimal surfaces within three-manifolds of positive Ricci curvature, utilizing lamination theory to understand their geometric properties.
Contribution
It applies Colding--Minicozzi lamination theory to analyze the systole of high genus minimal surfaces in positively curved three-manifolds, offering new insights.
Findings
Systole behavior of large genus minimal surfaces in positive Ricci curvature
Application of lamination theory to minimal surface geometry
New bounds or properties derived for minimal surfaces
Abstract
We use Colding--Minicozzi lamination theory to study the systole of large genus minimal surfaces in an ambient three-manifold of positive Ricci curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology