V. Medvedev

collaborators

2 papers

math.DG2020

Degenerating sequences of conformal classes and the conformal Steklov spectrum

Vladimir Medvedev

Let $Σ$ be a compact surface with boundary. For a given conformal class $c$ on $Σ$ the functional $σ_{k}^{*} (Σ, c)$ is defined as the supremum of the $k -$ th normalized Steklov eigenvalu…

math.DG2019

On the Friedlander-Nadirashvili invariants of surfaces

Mikhail Karpukhin, Vladimir Medvedev

Let $M$ be a closed smooth manifold. In 1999, L. Friedlander and N. Nadirashvili introduced a new differential invariant $I_{1} (M)$ using the first normalized nonzero eigenvalue of t…