17 citations · 49 across the 15 of their papers we have counts for
4 papers · 1 filter
Small eigenvalues of surfaces - old and new
Werner Ballmann, Henrik Matthiesen, Sugata Mondal
We discuss our recent work on small eigenvalues of surfaces. As an introduction, we present and extend some of the by now classical work of Buser and Randol and explain novel ideas…
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces
Henrik Matthiesen, Anna Siffert
We prove the existence of metrics maximizing the first eigenvalue normalized by area on closed, non-orientable surfaces assuming two spectral gap conditions. These spectral gap con…
On the bottom of spectra under coverings
Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis
For a Riemannian covering of complete Riemannian manifolds with boundary (possibly empty) and respective fundamental groups , we show that the bottoms…
Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products
Henrik Matthiesen
In this short note, we prove that conformal classes which are small perturbations of a product conformal class on a product with a standard sphere admit a metric extremal for some…