Henrik Matthiesen

activity

20162020

most citedFree boundary minimal surfaces of any topological type in Euclidean balls via shape optimization

17 citations · 33 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DG2018

The systole of large genus minimal surfaces in positive Ricci curvature

Henrik Matthiesen, Anna Siffert

We use Colding--Minicozzi lamination theory to study the systole of large genus minimal surfaces in an ambient three-manifold of positive Ricci curvature.

math.DG2018

Bottom of spectra and amenability of coverings

Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis

For a Riemannian covering $π : M_{1} \to M_{0}$ , the bottoms of the spectra of $M_{0}$ and $M_{1}$ coincide if the covering is amenable. The converse implication does not always hold. A…

math.DG2018

Monotonicity results for the first Steklov eigenvalue on compact surfaces

Henrik Matthiesen, Romain Petrides

We show several results comparing sharp eigenvalue bounds for the first Steklov eigenvalue on surfaces under change of the topology. Among others, we obtain strict monotonicity in…