Dongryul Kim

collaborators

4 papers

math.GT2025

Rigidity of Kleinian groups via self-joinings: measure theoretic criterion

Dongryul M. Kim, Hee Oh

Let $n, m \geq 2$ . Let $I^ < SO^{\circ} (n + 1, 1)$ be a Zariski dense convex cocompact subgroup and $I^ \subset S^{n}$ be its limit set. Let $I ¨ : I^ \to SO^{\circ} (m + 1, 1)$ b…

math.GT2025

Simple length spectra as moduli for hyperbolic surfaces and rigidity of length identities

Hyungryul Baik, Inhyeok Choi, Dongryul M. Kim

In this article, we revisit classical length identities enjoyed by simple closed curves on hyperbolic surfaces. We state and prove the rigidity of such identities over TeichmÃ¼ller…

math.GT2024

On the asymptotic translation lengths on the sphere complexes and the generalized fibered cone

Hyungryul Baik, Dongryul M. Kim, Chenxi Wu

In this paper, we study the asymptotic translation lengths on the sphere complexes of monodromies of a manifold fibered over the circle. Given a compact mapping torus, we define a…

math.GT2024

Conformal measure rigidity for representations via self-joinings

Dongryul M. Kim, Hee Oh

Let $I^$ be a Zariski dense discrete subgroup of a connected simple real algebraic group $G_{1}$ . We discuss a rigidity problem for discrete faithful representations $I ¨ : I^ \to G_{2}$ a…