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math.DG2019
Index of minimal spheres and isoperimetric eigenvalue inequalities
Mikhail Karpukhin
In the present paper we use twistor theory in order to solve two problems related to harmonic maps from surfaces to Euclidean spheres . First, we propose a new approa…
math.DG2019
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…