Aeryeong Seo

activity

20112026

most citedSemi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case

2 citations · 6 across the 16 of their papers we have counts for

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Showing 2022Show all

4 papers · 1 filter

math.CV2022

A characterization of the unit ball by a Kähler-Einstein potential

Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo

We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler-Einstein met…

math.CV2022

Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains

Sung-Yeon Kim, Aeryeong Seo

In this paper, we study the holomorphicity of totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. First we show that for a $C^{1}$ -smooth totally geode…

math.CV2022

Totally geodesic discs in bounded symmetric domains

Sung-Yeon Kim, Aeryeong Seo

In this paper, we characterize $C^{2}$ -smooth totally geodesic isometric embeddings $f : Ω \to Ω^{'}$ between bounded symmetric domains $Ω$ and $Ω^{'}$ which extend $C^{1}$ -smoothly over s…

math.CV2022

Weighted $L^{2}$ Holomorphic functions on ball-fiber bundles over compact Kähler manifolds

Seungjae Lee, Aeryeong Seo

Let $M$ be a complex manifold and $Γ$ be a torsion-free cocompact lattice of $Aut (M)$ . Let $ρ : Γ \to S U (N, 1)$ be a representation and $M:=\widetil…

A characterization of the unit ball by a Kähler-Einstein potential

Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains

Totally geodesic discs in bounded symmetric domains

Weighted L2 Holomorphic functions on ball-fiber bundles over compact Kähler manifolds

Weighted $L^{2}$ Holomorphic functions on ball-fiber bundles over compact Kähler manifolds