1 citations · 1 across the 4 of their papers we have counts for
6 papers
On the Index of Fraser-Sargent-type minimal surfaces
Vladimir Medvedev, Egor Morozov
Fraser-Sargent surfaces are free boundary minimal surfaces in the four-dimensional unit Euclidean ball. Extended infinitely they define immersed minimal surfaces in the Euclidean s…
On the index of the critical Möbius band in
Vladimir Medvedev
In this paper we prove that the Morse index of the critical Möbius band in the dimensional Euclidean ball equals 5. It is conjectured that this is the only embedd…
Degenerating sequences of conformal classes and the conformal Steklov spectrum
Vladimir Medvedev
Let be a compact surface with boundary. For a given conformal class on the functional is defined as the supremum of the th normalized Steklov eigenvalu…
On the Friedlander-Nadirashvili invariants of surfaces
Mikhail Karpukhin, Vladimir Medvedev
Let be a closed smooth manifold. In 1999, L. Friedlander and N. Nadirashvili introduced a new differential invariant using the first normalized nonzero eigenvalue of t…
On branched minimal immersions of surfaces by first eigenfunctions
Donato Cianci, Mikhail Karpukhin, Vladimir Medvedev
It was proved by Montiel and Ros that for each conformal structure on a compact surface there is at most one metric which admits a minimal immersion into some unit sphere by first…
Linear representations of groups with translation invariant defining relationships. Some new series of braid group representations and new invariants of links and knots
Vladimir K. Medvedev
In this paper we indicate one method of construction of linear representations of groups and algebras with translation invariant (except, maybe , finite number) defining relationsh…