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math.DG2016
On the analytic systole of Riemannian surfaces of finite type
Werner Ballmann, Henrik Matthiesen, Sugata Mondal
In our previous work we introduced, for a Riemannian surface , the quantity , where denotes the first Dirichlet eigenvalue of and the infimum i…
math.DG2016
Extremal metrics for Laplace eigenvalues in perturbed conformal classes
Henrik Matthiesen
We prove that in many cases the existence of an extremal metric for some Laplace eigenvalue in a conformal class allows to find extremal metrics in conformal classes close by. As a…