K. Drach

activity

20162026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.DS2024

Density of Stable Interval Translation Maps

Kostiantyn Drach, Leon Staresinic, Sebastian van Strien

Assume that the interval $I = [0, 1)$ is partitioned into finitely many intervals $I_{1}, \dots, I_{r}$ and consider a map $T : I \to I$ so that $T_{∣ I_{s}}$ is a translation for each…

math.DG2024

Stability of reverse isoperimetric inequalities in the plane: area, Cheeger, and inradius

Kostiantyn Drach, Kateryna Tatarko

In this paper, we present sharp stability results for various reverse isoperimetric problems in $R^{2}$ . Specifically, we prove the stability of the reverse isoperimetric ine…

math.DG2024

The Blaschke rolling theorem in Riemannian manifolds of bounded curvature

Kostiantyn Drach

We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in…