7 citations · 14 across the 14 of their papers we have counts for
15 papers
The topology of Schottky spaces in higher dimensions
Donggyun Seo
The marked Schottky space records, up to conjugacy, all actions of a free group of fixed rank as a Schottky group on hyperbolic space of fixed dimension. In dimension three it is t…
A note on the Burnside problem for homeomorphism groups of manifolds
Donggyun Seo
This note studies the Burnside problem for homeomorphism groups of compact connected manifolds. For surfaces, we prove that the identity component of the homeomorphism group is tor…
Dynamics of Dehn Twists in the Outer Automorphism Group of a Free Group
Donggyun Seo
We study Dehn twists in the outer automorphism group of a finitely generated non-abelian free group. Our main result states that, under certain compatibility conditions, sufficient…
Percolation in acylindrically hyperbolic groups
Inhyeok Choi, Donggyun Seo
Let be an acylindrically hyperbolic group. We prove that Bernoulli bond percolation on every Cayley graph of has a nonuniqueness phase, in which there are infinitely many i…
The Pants Graph of a Free Group
Donggyun Seo
We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to th…
A symmetry condition for genus zero free boundary minimal surfaces attaining the first eigenvalue of one
Dong-Hwi Seo
An embedded free boundary minimal surface in the 3-ball has a Steklov eigenvalue of one due to its coordinate functions. Fraser and Li conjectured that whether one is the first non…
Uniqueness of tangent flows at infinity for finite-entropy shortening curves
Kyeongsu Choi, Dong-Hwi Seo, Wei-Bo Su +1
In this paper, we prove that an ancient smooth curve shortening flow with finite-entropy embedded in has a unique tangent flow at infinity. To this end, we show that…
On the first Steklov-Dirichlet eigenvalue on eccentric annuli in general dimensions
Jiho Hong, Mikyoung Lim, Dong-Hwi Seo
We consider the Steklov-Dirichlet eigenvalue problem on eccentric annuli in Euclidean space of general dimensions. In recent work by the same authors of this paper [21], a limiting…
Uniform difference between the length spectra of Out(F2) and the genus two handlebody group
KyeongRo Kim, Donggyun Seo
In this paper, we analyze the natural homomorphism from the genus g handlebody group to the outer automorphism group of the free group with rank g, in terms of length spectra. In g…
Liftable automorphisms of right-angled Artin groups
Sangrok Oh, Donggyun Seo, Philippe Tranchida
Given a regular covering map of graphs, we investigate the subgroup of the automorphism group of the right-angled Arti…
Sufficient symmetry conditions for free boundary minimal annuli to be the critical catenoid
Dong-Hwi Seo
We first consider a uniqueness problem for embedded free boundary minimal annuli in the three-dimensional Euclidean unit half-ball. Then, we obtain symmetry properties for compact…
On the finiteness property of hyperbolic simplicial actions: the right-angled Artin groups and their extension graphs
Hyungryul Baik, Donggyun Seo, Hyunshik Shin
We study the right-angled Artin group action on the extension graph. We show that this action satisfies a certain finiteness property, which is a variation of a condition introduce…
Shape monotonicity of the first Steklov-Dirichlet eigenvalue on eccentric annuli
Jiho Hong, Mikyoung Lim, Dong-Hwi Seo
In this paper, we investigate the monotonicity of the first Steklov--Dirichlet eigenvalue on eccentric annuli with respect to the distance, namely , between the centers of the i…
Powers of Dehn twists generating right-angled Artin groups
Donggyun Seo
We give a bound for the exponents of powers of Dehn twists to generate a right-angled Artin group. Precisely, if is a finite collection of pairwise distinct simple cl…
A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue
Dong-Hwi Seo
We consider a shape optimization problem for the first mixed Steklov-Dirichlet eigenvalues of domains bounded by two balls in two-point homogeneous space. We give a geometric proof…