The systole of large genus minimal surfaces in positive Ricci curvature

The systole of large genus minimal surfaces in positive Ricci curvature - Henrik Matthiesen

Henrik Matthiesen
University of Chicago
January 29, 2019

We prove that the systole (or more generally, any k-th
homology systole) of a minimal surface in an ambient three manifold of
positive Ricci curvature tends to zero as the genus of the minimal
surfaces becomes unbounded. This is joint work with Anna Siffert.